Welcome to the AlgTop-Conf List! This is a home for conference announcements in algebraic topology and, more generally, mathematics meetings which may be of any interest to the algebraic topology community.

There are a few other conference lists available, but this list aims to be more complete by allowing anyone at all to add announcements. Rather than use a wiki, announcement information is stored in database format so that useful search functions can be added as the list grows. Enjoy!

Know of a meeting not listed here?

# Upcoming Meetings

## August 2013

### Online course on Applications of Algebraic Topology

2013-08-26 through 2013-12-14
University of Iowa
Iowa City, IA; USA

Meeting Type: oneline course

Subject Area: algebraic topology

Contact: Isabel Darcy

### Description

Free online course to prepare students and other researchers for the IMA Thematic Year on Scientific and Engineering Applications of Algebraic Topology, but all interested participants are welcome to register for free or for official credit. Workshop attendance is not required. Both pure and applied students/researchers are welcome to take this course. A variety of backgrounds often results in greater depth of analysis when analyzing real world problems. This course will be individualized to meet the interests and background of each participant. See course website for information on how to join live lectures (MWF 16:30 - 17:20 GMT). Lectures will also be recorded.

## December 2013

### Géo2. Geometry and microlocal analysis

2013-12-08 through 2013-12-14
Kasdi Merbah University
Ouargla; Algeria

Meeting Type: winter school

Subject Area: topology - complex analysis - microlocal analysis

Contact: Amine BAHAYOU

### Description

The purpose of this winter school is to bring together PhD students and good Master, working in complex geometry, symplectic geometry, microlocal analysis and related fields to present important areas of current research. The Winter School is also an opportunity for young students to meet leading researchers in a relaxed atmosphere, and begin to build relationships with their peers.

## January 2014

### Recent Developments in Type Theory

2014-01-13 through 2014-01-17
École Normale Supérieure de Lyon
Lyon; France

Meeting Type: Workshop

Subject Area: algebraic topology, homotopy type theory, computer science

Contact: see conference website

none

### AMS Special Session and Satellite Conference on Homotopy Theory

2014-01-16 through 2014-01-18
Baltimore Convention Center
Baltimore, Maryland; USA

Meeting Type: conference

Subject Area: algebraic topology, homotopy theory

Contact: see conference website

none

### Mathematical Structures of Computation - Algebra and Computation workshop

2014-01-20 through 2014-01-24
École Normale Supérieure de Lyon
Lyon; France

Meeting Type: Workshop

Subject Area: algebraic topology, computer science

Contact: see conference website

### Description

This week follows the conferences Operads and Rewriting (Lyon, 2011) and Algebra and Computation (Marseille, 2012), in order to promote the developement of computational methods in algebra and the algebraic formalisation of computation.

Since the eighties, several results (Anick, Squier, Kobayashi, Brown, Dehornoy-Lafont, …) have shown the interest of methods coming from rewriting theory to solve algebraic decision problems or to compute homological invariants. Convergent (confluent and terminating) presentations, and Gröbner bases for linear structures, allow in particular the computation of normal forms and, thus, one can address decision problems (Dehn problems, combinatorics of Coxeter and Artin groups, …) through computational methods.

The week will cover themes including, but not limited to, the following ones: Garside calculus and the study of Artin groups, diagram algebras in representation theory, rewriting methods in operad theory.

### Connections for Women: Algebraic Topology

2014-01-23 through 2014-01-24
Mathematical Sciences Research Institute
Berkeley, California; USA

Meeting Type: workshop

Subject Area: algebraic topology

Contact: see conference website

### Description

This two-day workshop will consist of short courses given by prominent female mathematicians in the field. These introductory courses will be appropriate for graduate students, post-docs, and researchers in related areas. The workshop will also include a panel discussion featuring successful women at various stages in their mathematical careers.

### CMAT 2014 - Categorical Methods in Algebra and Topology

2014-01-24 through 2014-01-26
University of Coimbra
Coimbra; Portugal

Meeting Type: Workshop

Subject Area: algebraic topology, category theory

Contact: see conference website

### Description

Workshop on Categorical Methods in Algebra and Topology, in honour of Manuela Sobral, to be held at the Department of Mathematics of the University of Coimbra, Portugal, from January 24 to January 26, 2014.

### Introductory Workshop: Algebraic Topology

2014-01-27 through 2014-01-31
Mathematical Sciences Research Institute
Berkeley, California.; USA

Meeting Type: Workshop

Subject Area: algebraic topology

Contact: see conference website

### Description

Algebraic topology is a rich, vibrant field with close connections to many branches of mathematics. This workshop will describe the state of the field, focusing on major programs, open problems, exciting new tools, and cutting edge techniques.

The introductory workshop serves as an overview to the overlying programmatic theme. It aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

### Mathematical Structures of Computation - Directed Algebraic Topology and Concurrency

2014-01-27 through 2014-01-31
École Normale Supérieure de Lyon
Lyon; France

Meeting Type: Workshop

Subject Area: algebraic topology

Contact: see conference website

### Description

Over the past decades there has been an increasing interest in the potential applications of algebraic topology to study concurrency. This new field at the intersection of topology and computer science was started by a series of works which introduced semantics of concurrent programs based on topological spaces, whose points model the states of programs and paths model executions of the program. Since executions of programs always go forward in time, these topological spaces should be equipped with a notion of direction for paths, which requires adapting the usual tools in algebraic topology to this new setting. Two paths which are homotopic (in a directed sense) correspond to two schedulings of a concurrent program which are equivalent in the sense that they give rise to the same results. Starting from this observation, the study of the space of paths up to homotopy in a directed space provides compact representations of the possible schedulings of concurrent programs, in the same way that homotopy (or homology) groups describe in a concise way the essential characteristics of classical topological spaces. This point of view has provided new tools in order to efficiently verify concurrent programs. Another major application of algebraic topology in the study of concurrent programs can be found in the classification of tasks which can be performed by asynchronous concurrent programs, by modeling coherent states of threads using simplicial complexes and drawing conclusions from the study of their geometrical properties.

The goal of this thematic week is to present the latest developments resulting from the interaction between algebraic topology and concurrency theory:

• Directed algebraic topology: definition and comparison of the various models for directed algebraic topological spaces, and mathematical tools in order to study those (fundamental category, category of components, homology), etc.

• Applications of topology to concurrency: efficient verification of concurrent programs, computability of tasks by asynchronous protocols, etc.

## March 2014

### MIT Talbot Workshop on Motivic Homotopy Theory

2014-03-16 through 2014-03-22
Pigeon Forge, Tennessee ; USA

Meeting Type: workshop

Subject Area: algebraic topology, motivic homotopy theory

Contact: see conference website

### Description

The 2014 Talbot workshop, aimed toward graduate students and other young researchers, will give an introduction to motivic homotopy theory and some of its applications to K-theory and algebraic geometry. This field arose from the work of Morel, Voevodsky, Friedlander, Suslin and many others in the 1990s and gives a framework for doing homotopy theory in a setting applicable to algebraic geometry and number theory. We will approach three aspects of this field: First of all, we will give a brief introduction to the foundational constructions, such as motivic unstable and stable homotopy categories, and describe some of the main results known about the structure of these categories. Secondly, we will introduce the objects in the motivic categories that enable one to represent theories such as algebraic K-theory, motivic cohomology or algebraic cobordism within this setting, and discuss some of the main results which relate these theories and enable one to build new ones. Finally, if time remains, we will describe some of the known computations of the "structure constants" in the theory, such as Morel's computation of the endomorphisms of the sphere spectrum, and computations of unstable homotopy groups due to Asok and Fasel, which have interesting applications to stablility questions for vector bundles.

The workshop discussions will have an expository character and most of the talks will be given by participants. The afternoon schedule will be kept clear for informal discussions and collaborations. The workshop will take place in a communal setting, with participants sharing living space and cooking and cleaning responsibilities.

## April 2014

### Reimagining the Foundations of Algebraic Topology

2014-04-07 through 2014-04-11
Mathematical Sciences Research Institute
Berkeley, California.; USA

Meeting Type: workshop

Subject Area: algebraic topology

Contact: see conference website

### Description

Recent innovations in higher category theory have unlocked the potential to reimagine the basic tools and constructions in algebraic topology. This workshop will explore the interplay between these higher and $\infty$-categorical techniques with classical algebraic topology, playing each off of the other and returning the field to conceptual, geometrical intuition.

### Homological Methods in Algebraic Geometry

2014-04-12 through 2014-04-13
Wisconsin; USA

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

### Description

A conference devoted to recent developments in the use of homological methods in algebraic geometry will be held at the University of Wisconsin, April 12-13, 2014.

There will also be a poster session for graduate students to present their work. This will be a great opportunity for students to interact with each other and other participants.

Invited Speakers:

Benjamin Antieau, University of Washington (unconfirmed) Owen Gwilliam, University of California, Berkeley (unconfirmed) Mikhail Kapranov, Yale University Tony Pantev, University of Pennsylvania Anatoly Preygel, University of California, Berkeley Nick Rozenblyum, Northwestern University Dmitry Tamarkin, Northwestern University (unconfirmed) Boris Tsygan, Northwestern University

### Semantics of proofs and certified mathematics

2014-04-22 through 2014-07-11
Institut Henri Poincaré
Paris; France

Meeting Type: conference

Subject Area: algebraic topology, homotopy type theory, computer science

Contact: see conference website

### Description

After years of steady development, the technology of proof assistants is currently coming to a mature state. As a matter of fact, it is possible today to formalize a non trivial mathematical proof inside a computer, and to check its correctness automatically. This "tour de force" has been recently achieved for the four color theorem, and a certified proof of the classification of finite groups and of the Kepler conjecture are on the way.

These achievements would not have been possible without the rich and active mathematics of formal proofs which emerged in the 1970s at the frontier of logic and computer science, along the Curry-Howard correspondence. This seminal correspondence enables us to understand a logical proof (of a given formula) as a well-behaved program (of a given type). Besides this by now traditional connection between logic and computer science, a number of unexpected connections are currently emerging with other fields of mathematics – this including homotopy theory, higher dimensional algebra, quantum topology, topos theory, functional analysis and operator algebra. Finally, proof assistants have been successfully applied to certify properties of programs written in high-level languages as well as low-level languages, to implement certified compilers, or to establish important security properties of protocols.

The purpose of this thematic trimester is to provide a forum for the extended community of researchers and students in mathematics and in computer science interested in proof assistants, and more generally, in the mathematics of formal proofs. Much care will be devoted during the trimester to train the mathematicians interested to learn and to use the current proof assistants in their work.

## May 2014

### Projective modules and A1-homotopy theory

2014-05-05 through 2014-05-09
Palo Alto, California; USA

Meeting Type: workshop

Subject Area: algebraic topology, algebraic geometry, homological algebra, motivic homotopy theory

Contact: see conference website

none

### Bers 100 and Iberoamerican congress on geometry

2014-05-19 through 2014-05-22
City University of New York
New York; USA

Meeting Type: celebration & congress

Subject Area: geometry

Contact: see conference website

### Description

The Bers 100 celebration, an informal meeting to observe the 100th anniversary of his birth, will begin at 1pm on Monday, May 19, 2014 and will immediately be followed by the sixth Iberoamerican congress on geometry, May 20-22, 2014.

Invited Bers 100 speakers: Yair Minsky (Yale University) and Dennis Sullivan (CUNY Graduate Center and Stony Brook University). Other events to be planned.

Invited Iberoamerican congress on geometry speakers: Ian Agol (University of California, Berkeley), Moira Chas (Stony Brook University), Nuria Fagella (University of Barcelona), Jeremy Kahn (City University of New York,
Graduate Center), Sarah Koch (University of Michigan), Maryam Mirzakhani (Stanford University), Christian Schnell (Stony Brook University), Ignacio Sols (Universidad Complutense of Madrid), and Juan Souto (University of British Columbia).

Both meetings will take place at the City University of New York, Graduate Center. This will be the sixth Iberoamerican congress on Geometry. In previous years the congress was held at Olmue, Chile (1998), Guanajuato, Mexico (2001), Salamanca, Spain (2004), Ouro Preto, Brazil (2007), and Pucon, Chile (2010).

The website for both events is: http://fsw01.bcc.cuny.edu/zhe.wang/IB.html

Pre/registration for Bers 100 will help determine its program- write to Ara Basmajian, Jozek Dodziuk, Linda Keen, or Irwin Kra with suggestions.

Scientific Committee for the Iberoamerican congress: Ara Basmajian, Laura DeMarco, Linda Keen, Irwin Kra, Yair Minsky, Jose Maria Munoz Porras, and Rubi Rodriguez.

### GEAR Junior Retreat

2014-05-23 through 2014-06-01
University of Michigan
Ann Arbor (MI); USA

Meeting Type: conference

Subject Area: algebraic topology, geometry and topology,

Contact: see conference website

### Description

The meeting is mainly aimed at PhD students and recent post-docs, and during the ten days the following themes will be featured:

1. Dynamics on Moduli Spaces
2. Geometric and Analytical Group Theory
3. Geometric Structures and Teichmüller Spaces
4. Higgs Bundles
5. Hyperbolic manifolds

During the mornings there will be 8 mini-courses on topics related to the above theme, aiming to introduce the audience to current developments in the area. Each mini-course will have an exercise session, as well as an open problems discussion hour, during which experts in the field shall present and expand on open questions in each area.

During the afternoons there will be short talks by young researchers on topics related to the above themes.

### Teichmüller theory and surfaces in 3-manifolds

2014-05-26 through 2014-06-20
Centro di Ricerca Matematica
Pisa; Italy

Meeting Type: intensive research period

Subject Area: geometry, topology

Contact: see conference website

### Description

The intensive period will last four weeks from 26 May to 20 June 2014. Emphasis will be put on the following topics:

• Riemann surfaces, hyperbolic surfaces, CP1-structures
• Geometric structures on Riemann surfaces, representation of surface groups
• Teichmüller theory, special mappings between surfaces
• Riemannian and Lorentzian 3-manifolds of constant curvature
• Surfaces immersed in 3-manifolds, minimal surfaces.

During weeks I, II and IV there will be mini-courses and research talks, along with time for discussion. A more intensive workshop will take place during the third week (9-13 June).

Minicourse speakers include:

• Thierry Barbot (Avignon)
• Francis Bonahon (USC)
• Marc Burger (ETH Zürich)
• William Goldman (College Park)
• Alexander Goncharov (Yale)
• Jeremy Kahn (Brown)
• François Labourie (Orsay)
• Rafe Mazzeo (Stanford)
• Andrew Neitzke (Austin)

Scientific committee: Steve Kerckhoff, Bruno Martelli, Jean-Marc Schlenker, Mike Wolf

Organizing committee: Francesco Bonsante (francesco.bonsante@unipv.it), Roberto Frigerio (frigerio@dm.unipi.it), Gabriele Mondello (mondello@mat.uniroma1.it)

This event is supported by the Italian MIUR grant FIRB2010 "Low-dimensional geometry and topology" and by CRM De Giorgi. There are no registration fees. Some financial support for accommodation and local expenses will be available.

## June 2014

### GeToPhyMa-2014: Research School on Moduli and Configuration spaces in memory of Bill Thurston

2014-06-03 through 2014-06-06
UIR-CRMEF
Rabat; Morocco

Meeting Type: Research School

Subject Area: algebraic topology

Contact: My Ismail Mamouni

### Description

The Moroccan Research Group in Rational Homotopy Theory (http://algtop.net) organises a GGTM Research School on Geometry, Topology and Mathematical Physics (GeToPhyMa-2014) on June 3<6 2014 in Rabat, Morocco. The school is in memory of Bill Thurston (1946-2012). The scientific program consists of

• one course on Configurations spaces
• one course on Moduli spaces
• plenary conferences, short communications, posters, discussion sessions

The inscription is open until late of late of January online on the link http://algtop.net/geto14/

### Surgery theory and its applications to geometry

2014-06-09 through 2014-06-13
Mathematisches Institut, Westfälische Wilhelms-Universität
Münster; Germany

Meeting Type: summer school

Subject Area: surgery theory, geometry

Contact: see conference website

none

### Riemann, topology and physics

2014-06-12 through 2014-06-14
University of Strasbourg
Strasbourg; France

Meeting Type: conference

Subject Area: topology and physics

Contact: see conference website

### Description

The conference is part of a series of bi-annual conferences "Encounter between Mathematicians and Theoretical Physicists" and it is addressed to a large audience.

### Manifolds, K-theory, and Related Topics: A Conference Celebrating Tom Goodwillie's 60th Birthday

2014-06-23 through 2014-06-27
Inter-University Centre
Dubrovnik; Croatia

Meeting Type: conference

Subject Area: algebraic topology

Contact: Ismar Volic

### Description

Tom Goodwillie has made fundamental contributions to algebraic and geometric topology. His ideas have been especially influential in the study of smooth manifolds, algebraic K-theory, and homotopy theory. The goal of this conference is to bring together leading researchers who will report on the latest important developments in these fields.

### What next? The mathematical legacy of Bill Thurston

2014-06-23 through 2014-06-27
Cornell University
Ithica, NY; USA

Meeting Type: conference

Subject Area: geometry, topology

Contact: see conference website

### Description

This conference will celebrate the profound influence of Bill Thurston's work on the entire mathematical community. Thurston made fundamental contributions to topology, geometry, and dynamical systems. But beyond these specific accomplishments he introduced new ways of thinking about and of seeing mathematics. He discovered connections between disciplines which led to the creation of entirely new fields.

The goal of this meeting is to bring together mathematicians from a broad spectrum of areas to describe recent advances and explore future directions motivated by Thurston's transformative ideas.

### Category Theory 2014

2014-06-29 through 2014-07-05
Cambridge; UK

Meeting Type: conference

Subject Area: category theory, homotopy type theory, algebraic topology

Contact: see conference website

none

### Young Topologists Meeting

2014-06-30 through 2014-07-04
Center for Symmetry and Deformation, University of Copenhagen
Copenhagen; Denmark

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

### Description

The 2014 Young Topologists Meeting will take place at the University of Copenhagen June 30 – July 4, 2014. The meeting is intended as an opportunity for graduate students, recent PhDs, and other junior researchers in topology to meet each other and share their work. In addition to short talks by the participants, there will be two short lecture series by experts in the field.

### Algebraic Topology Summer Graduate School

2014-06-30 through 2014-07-11
Guanajuato; Mexico

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

### Description

This is an MSRI summer school, but it will be hosted in Mexico rather than at MSRI.

## July 2014

### The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles

2014-07-07 through 2014-08-29
National University of Singapore
Singapore ; Singapore

Meeting Type: program

Subject Area: Geometry, Topology and Physics

Contact: see conference website

### Description

The goals of the program are: Bring together experts who study the geometry, topology and physics of Higgs bundles. Invite leading researchers to give talks on recent results and the latest developments in the field. Have experts give mini-courses explaining the background to their fields. Encourage collaborative work. Introduce graduate students and young researchers to the latest research and open problems in the field.

## August 2014

### XIX EBT - 19th Brazilian Topology Meeting

2014-08-03 through 2014-08-09
IBILCE - UNESP - SÃO JOSÉ DO RIO PRETO
São José do Rio Preto - Estado de São Paulo; Brazil

Meeting Type: conference

Subject Area: algebraic topology

Contact: Ermínia de Lourdes Campello Fanti

### Description

XIX EBT - 19th Brazilian Topology Meeting

The 19th Brazilian Topology Meeting will take place at the State University of São Paulo (UNESP), São José do Rio Preto, in the state of São Paulo, Brazil, from Sunday the 3rd until Saturday the 9th of August, 2014.

The Scientific Committee consists of: Daciberg Lima Gonçalves (Coordinator), Marek Golasiński, John Guaschi, Claude Hayat, Eduardo Hoefel and Pedro Pergher.

The Organising Committee consists of Ermínia de Loudes Campello Fanti (Coordinator), Alice Kimie Miwa Libardi, Darlan Rabelo Girao, Denise de Mattos, Evelin Meneguesso Barbaresco, Flávia Souza Machado da Silva, João Carlos Ferreira Costa, Leonardo Navarro de Carvalho, Ligia Laís Fêmina, Luciana de Fátima Martins, Lucilia Daruiz Borsari, Luiz Roberto Hartmann Junior, Maria Gorete Carreira Andrade, Michelle Ferreira Zanchetta Morgado and Thiago de Melo.

Further details will be posted on the web site as they become available.

Contact: Ermínia de Lourdes Campello Fanti e-mail: ebt2014@ibilce.unesp.br web site: www.mat.ibilce.unesp.br/EBT2014/

### Topology of Torus Actions and Applications to Geometry and Combinatorics

2014-08-07 through 2014-08-11
Daejeon; Korea Sout

Meeting Type: conference

Subject Area: topology

Contact: see conference website

### Description

The main topic of the conference is the interplay of torus actions with topology, geometry, and the combinatorics of manifolds, orbifolds, and algebraic varieties with torus actions. Toric manifolds, symplectic toric manifolds, and quasitoric manifolds illustrate the correspondence between topological and geometric objects with torus actions and, combinatorial objects such as moment polytopes or fans. Moreover, equivariant cohomology theory and homotopy theory play important roles in the study of such topics. The rank of the acting torus is half of the dimension of the space mentioned above, but in this conference the focus is on torus actions of arbitrary rank, and on the correspondence of such spaces with combinatorial objects. Also covered, are geometric objects without torus actions, on which can be associated combinatorial structures such as Okounkov bodies. All those working in the fields of algebaric topology, transformation group theory, toric geometry, symplectic geometry, and combinatorics are encouraged to participate in the conference.

This conference is a satellite conference of ICM 2014, Seoul. One can find the list of all satellite conferences at http://www.icm2014.org/en/program/satellite/satellites .

## September 2014

### Loop spaces in geometry and topology

2014-09-01 through 2014-09-05
Centre Henri Lebesgue
Nantes; France

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

### Description

One-dimensional objects have played a central role in geometry for a long time. From lines in Euclidean spaces to geodesics in Riemannian manifolds, particular classes of real one-dimensional sub-objects of a given space, i.e. loops or paths, have been successfully used as probes for the ambient geometry. At the local level, Riemannian curvature can be classically recovered from the behavior of geodesic paths via the Jacobi equation. At the global level, landmark results such as Morse's development of the calculus of variations in the large (1929), Berger's classification of holonomy groups (1953), Gromoll and Meyer's homological criterion for the existence of infinitely many closed geodesics (1969), or its reinterpretation by Sullivan-Vigué from the viewpoint of rational homotopy theory (1976), have shown deep connections between spaces of loops and analysis, Lie group theory, or topology. From a quite different perspective, string theory considers loops and paths (strings), as well as Riemann surfaces (worldsheets), as the basic building blocks for a unified theory of matter.

On the mathematical side, symplectic geometry appears to be the most natural setup within which real 1-dimensional objects (loops/paths) interact with complex 1-dimensional objects (Riemann surfaces). Gromov's theory of pseudo-holomorphic curves (1985) and its reinterpretation by Floer as a variational theory for the unregularized gradient flow of the symplectic action functional (1987) proved to be a successful tool in order to address the Arnold and Weinstein conjectures (1986, 1979) on the existence of closed orbits/chords for Hamiltonian systems. The geometric structure of compactified moduli space of pseudo-holomorphic curves gives rise to sophisticated algebraic structures, and in particular to various homology theories such as Floer homology, (embedded) contact homology, Seiberg-Witten-Floer homology, ... In all of these theories, one introduces higher products that account for all the non-canonical choices that one needs to make in order to lift an associative product from homology to the chain level. These operations get organized into a differential which is a coderivation on a larger object known to algebraic topologists as the “Bar construction”.

Almost simultaneously and inspired by the algebraic structures encountered in quantum field theory, algebraic topologists have been trying to understand the chain complexes of free loop and path spaces of a manifold. Chas and Sullivan's natural idea of cutting and pasting loops/paths together with considering Poincaré duality for the underlying manifold has led to a plethora of operations and opened a new field known as “string topology”. In parallel to this topological approach, a lot of effort was put into understanding the algebraic structure of “algebraic loop spaces”, modeled as Hochschild complexes of DGAs or categories equipped with further structures that account for Poincaré duality in the topological setting.

The various procedures for assigning a linear object (complex, homology, category...) to a nonlinear object gave rise to rich homotopical structures. There are many striking (algebraic) similarities between the constructions and difficulties encountered in each of the previous three settings. The common desire to reorganize non-canonical choices into higher homotopies and categories has also led to more elegant formulations of geometric and topological statements in terms of derived categories and functors.

We think that the time is ripe to bring together experts and young mathematicians working in these areas. We expect fruitful interactions and hope to harvest inspiration and new ideas. To this end, we intend to have up to 5 three-hours mini-courses accessible to non-experts, followed by a few talks dealing with more recent developments.

## January 2015

### Interactions between Representation Theory, Algebraic Topology and Commutative Algebra

2015-01-07 through 2015-06-30
Centre de Recerca Matemàtica (CRM)
Barcelona; Spain

Meeting Type: Research program

Subject Area: algebraic topology, representation theory, commutative algebra

Contact: see conference website

### Description

The main focus of this research program will be on the interaction between algebraic topology, commutative algebra, and representation theory. The underlying theme is the use of homological algebra; it serves as a common language making interaction possible and fruitful. This involves, for instance, the use of derived and triangulated categories, and methods from homotopy theory.

The goal of the program is to facilitate broader, and deeper, interaction between researchers from these different fields. To this end, distinguished experts will participate in this program, teaching advanced courses on subjects of current interest. Further activities include workshops and regular seminars, with specific emphasis on opportunities for young researchers to learn new ideas and techniques.​