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.

Updates 2014-02-16

We've upgraded the AlgTop-Conf software to CakePHP 2.4.5 and PHP 5.4. This involves substantial changes behind the scenes, but (hopefully!) minimal changes to the user interface. If you notice something not working properly, please let Niles know.

Additional update notes are available in the commit history (GitHub).

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Upcoming Meetings

December 2014

Mathematical Aspects of Six-Dimensional Quantum Field Theories

2014-12-08 through 2014-12-12
University of California, Berkeley
Berkeley, CA; USA

Meeting Type: Workshop

Subject Area: Geometry

Contact: see conference website

Description

The University of California, Berkeley will host a workshop devoted to the mathematical applications of 6d quantum field theory during the week of the 8th to the 12th of December 2014. The workshop is principally aimed at graduate students and young researchers working in the mathematics of quantum field theory and areas of mathematics to which it applies, such as geometric representation theory, geometric topology and mirror symmetry.

There will be minicourses given by

David Ben-Zvi, University of Texas, Austin Kevin Costello, Northwestern University Tudor Dimofte, Institute for Advanced Study Andrew Neitzke, University of Texas, Austin

Applications close on September 30th 2014. Some funds may be available to support graduate students and young researchers.

January 2015

Hyperbolic Geometry and Minimal Surfaces

2015-01-04 through 2015-01-10
IMPA
Rio de Janeiro; Brazil

Meeting Type: conference

Subject Area: Geometry

Contact: see conference website

Description

The study of hyperbolic manifolds has advanced considerably. Many problems and conjectures in the subject have recently been resolved. Incompressible surfaces in hyperbolic manifolds have played an important role in this research. Minimal surfaces have been used as well: embedded incompressible surfaces are isotopic to least area minimal surfaces. The conference will focus on various problems in the intersection of hyperbolic geometry and the minimal surface theory. We believe that a joint meeting of specialists in minimal surface theory and hyperbolic geometry will encourage collaboration to study the global geometry of minimal surfaces in hyperbolic manifolds.

The topics of the conference will include:

  • Minimal surfaces in hyperbolic manifolds
  • Min-max techniques in hyperbolic geometry
  • Systoles in expanding families of hyperbolic manifolds

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.​

AWM Workshop on Homotopy Theory

2015-01-10 through 2015-01-13
San Antonio, TX; USA

Meeting Type: Workshop

Subject Area: algebraic topology

Contact: see conference website

Description

The Association for Women in Mathematics is sponsoring a workshop focused on Homotopy Theory at the Joint Mathematics Meetings in San Antonio, January 10 - 13, 2015. The workshop will include a poster session presented by graduate students and a series of talks by both senior women and recent PhDs.

The following researchers have agreed to speak:

Julie Bergner Teena Gerhardt Kathryn Hess Ulrike Tillmann

We would like to invite recent PhDs in the field of Homotopy Theory to apply to participate in the workshop and give a 20-minute talk. To be eligible a recent PhD must have received her PhD within approximately the last five years. The associated graduate student poster presentations will be chosen from all fields of mathematics. To be eligible for selection and funding, a graduate student must have made substantial progress towards her thesis. AWM will offer partial support for travel and hotel accommodations for the selected participants. The workshop will also include a reception and a luncheon where participants will have the opportunity to meet with other women mathematicians at all stages of their careers.

The poster presentation and talks are open to all attendees of the JMM and hence present a unique opportunity to showcase young researchers to a large audience.

Application Deadline: August 15, 2014; the application submission link will be available in early July at the link below. All applications should include: a title, abstract, cv, and a letter of recommendation (for graduate students this letter should be from the thesis advisor.)

February 2015

Phase Transitions and Emergent Properties

2015-02-02 through 2015-05-08
ICERM, Brown University
Providence, Rhode Island; USA

Meeting Type: Semester

Subject Area: algebraic topology

Contact: see conference website

Description

Emergent phenomena are properties of a system of many components which are only evident or even meaningful for the collection as a whole. A typical example is a system of many molecules, whose bulk properties may change from those of a fluid to those of a solid in response to changes in temperature or pressure. The basic mathematical tool for understanding emergent phenomena is the variational principle, most often employed via entropy maximization. The difficulty of analyzing emergent phenomena, however, makes empirical work essential; computations generate conjectures and their results are often our best judge of the truth.

The semester will include three workshops that will concentrate on di fferent aspects of current interest, including unusual settings such as complex networks and quasicrystals, the onset of emergence as small systems grow, and the emergence of structure and shape as limits in probabilistic models. The workshops will (necessarily) bring in researchers in combinatorics and probability as well as statistical physics and related areas. We aim to have experimental contributors for workshops 1 and 2 where we will highlight the comparison between computational and theoretical modeling and the real world. This will be combined with computational modules for the student participants.

Applications of Topology

2015-02-04 through 2015-02-07
Lisbon; Portugal

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

Description

As in previous years the meeting is based around minicourses given by four main speakers, supplemented by invited and contributed talks. Our main speakers for this edition are:

Dmitry Feichtner-Kozlov (Bremen): Combinatorial Algebraic Topology and applications to Distributed Computing Michael Farber (Queen Mary, London): Topological Robotics Piotr Sulkowski (Warsaw): Random matrices, topological recursion, and applications of topology to biomolecules Ulrich Bauer (IST Austria): Topological Data Analysis

The talks are at the advanced graduate or postdoctoral level, and should be of interest to all researchers wishing to learn about recent developments in the applications of topology, including applications in robotics and theoretical computing.

Some funding is available through the European Science Foundation research network, Applied and Computational Algebraic Topology, and possibly some local sources. There is no registration fee.

The 22nd SCGAS Southern California Geometric Analysis Seminar

2015-02-07 through 2015-02-08
University of California, San Diego
California; USA

Meeting Type: conference

Subject Area: Geometric Analysis

Contact: see conference website

Description

The 22nd SCGAS will be held at the Department of Mathematics of University of California at San Diego on Saturday, February 7, 2015 and Sunday, February 8, 2015. The lectures will be held in Center Hall 105.

The registration fee is $15, payable in cash only at the conference.

The SCGAS will provide breakfast on Sunday and refreshments throughout the weekend for all participants. There will be a banquet at the Pearl Chinese Cuisine on Saturday, February 7th. The cost is $40 (cash only) to be paid on Saturday morning at the conference. We will provides rides to and from the restaurant.

For participants who are requesting reimbursement please send your completed expenses form and receipts to 340 Rowland Hall (Bldg.# 400) University of California at Irvine, Irvine, CA 92697-3875. Reimbursement is only guaranteed up to the amount specified in the email you received from the SCGAS, and only with valid receipts. If you have questions please send an email to scgas@math.ucsd.edu.

Computations in Groups and Algebras (CoGrAl2015)

2015-02-16 through 2015-02-19
Friedrich Schiller University Jena
Jena, Thuringia; Germany

Meeting Type: Workshop

Subject Area: Cohomology

Contact: see conference website

Description

The aim of the workshop is to shed some light on various aspects of modern finite group theory, with a particular view towards computations. More precisely, we will focus on the following strongly interconnected topics:

(1) Cohomology of finite-dimensional algebras: This generalises the case of finite group algebras, and next to cohomology rings this also covers the computation of Ext algebras. Moreover, aspects from commutative algebra and from topology come into play here.

(2) Fusion systems are a conceptual device to relate the structure of p-groups to their embeddings into arbitrary finite groups, where again topological aspects play a role. In view of (1), the cohomology of p-groups, and how it is influenced by their structure, is particularly interesting in itself, and moreover is one of the cornerstones of computing finite group cohomology in general.

(3) Block theory of finite groups: To understand the structure of module categories deep facts from homology theory are indispensable, yielding tight connections to (1) and complementing the insights acquired there. Moreover, by way of local-global principles, there are intimate connections to (2), leading to mutual influence between these areas.

Winterbraids V

2015-02-16 through 2015-02-19
Université de Pau
Pau; France

Meeting Type: conference/school

Subject Area: low dimensional topology

Contact: see conference website

Description

The school is devoted to braids and their different applications and aspects. This fifth edition of Winter Braids occurs in the framework of the ANR project VasKho and is supported by the Université de Pau and the GDR Tresses. This year the school is also supported by GDR singularités and ANR project SUSI Besides the main lectures, there will be three half-days devoted to student presentations (not necessarily focused on braids or their generalisations). All talks will be held in english.

Infinite-dimensional Structures in Higher Geometry and Representation Theory

2015-02-16 through 2015-02-20
Center for Mathematical Physics
Hamburg; Germany

Meeting Type: conference

Subject Area: Geometry

Contact: see conference website

Description

Some topics that we want to emphasise in the workshop are:

1- mapping spaces and mapping groups of manifolds and of orbifolds

2- representations of mapping groups and of diffeomorphism groups

3- (bundle) gerbes and smooth stacks

4- Lie 2-groups and Lie 2-algebras derived from the above structures

5- representations of the latter

6- relations of the above topics to C*-algebras

Workshop in Memory of Prof. Sergio Console

2015-02-23 through 2015-02-26
University of Torino
Turin; Italy

Meeting Type: Workshop

Subject Area: algebraic topology

Contact: see conference website

Description

Prof. Console worked at Turin University for over twenty years and passed away last year. Among his research interests was rational homotopy theory, especially in connection with symplectic geometry. In this conference we bring together former collaborators and friends of Prof. Console and pay a tribute to him.

March 2015

Workshop on Geometric Analysis

2015-03-02 through 2015-03-05
Frankfurt; Germany

Meeting Type: Workshop

Subject Area: Geometry

Contact: see conference website

Description

This is a workshop targeted at people working on geometric flows (Flowers), as well as on other areas of Geometric Analysis (Friends).

The interrelation between mathematical physics, number theory and non-commutative geometry

2015-03-02 through 2015-03-13
Erwin Schroedinger International Institute for Mathematical Physics, University of Vienna
Vienna; Austria

Meeting Type: conference

Subject Area: non-commutative geometry, number theory, mathematical physics

Contact: see conference website

Description

Over the past few years, the newly discovered relation between Feynman integrals in quantum field theory and Grothendieck’s theory of motives of algebraic varieties has become a topic of growing importance in the panorama of theoretical and mathematical physics. In particular, the field has developed along different parallel lines, and one of the pressing needs at the moment is to create more interaction between researchers involved in the various different aspects of this area of research. In particular, we single out four different directions among which we hope to stimulate new interactions:

Motives and periods in perturbative quantum field theory Amplitudes and super Yang–Mills theory Algebraic structures in renormalization Quantum field theory on noncommutative spacetimes There will be a one week Master Class followed by a one week Research Meeting in which these topics will be the focus.

There is limited NSF funding for graduate students and junior researchers at US institutions for travel and local funds for six days available. Junior researchers must have completed their Ph.D. after 2010. To request funding, please send your CV to esifunding@math.bu.edu. Graduate students should also ask a supervisor to send a short email of support.

Algebraic K-Theory of Topological Algebras

2015-03-16 through 2015-03-20
University Regensburg, SFB 1085
Regensburg; Germany

Meeting Type: spring school

Subject Area: K-theory, Operator algebras

Contact: Ulrich Bunke

Description

The aim of the spring school is to familiarise PhD students and young researchers with algebraic K-theory cyclic homology so as to provide a platform to understand their connections with index theory isomorphism conjectures in the realm of topological algebras. The activity will primarily consist of 3 invited minicourses. There will also be opportunities for junior participants to make gong show presentations.

The 8th Annual World Congress of Regenerative Medicine & Stem Cells 2015- Korea

2015-03-19 through 2015-03-21
BIT Congress Inc.
Busan; Korea South

Meeting Type: conference

Subject Area: Medicine

Contact: Ms. Alisa

Description

none

13th Annual Graduate Student Topology and Geometry Conference

2015-03-28 through 2015-03-29
University of Illinois, Urbana-Champaign
Urbana, IL; USA

Meeting Type: conference

Subject Area: topology, geometry

Contact: see conference website

Description

The conference aims to expose graduate students in topology and geometry to current research, to provide them with an opportunity to give talks about their own research, and to bring together graduate students to talk to each other and to expert faculty members in their area. Most talks will be given by graduate students and complemented by longer talks by distinguished plenary and young faculty speakers.

Stratified spaces in geometric and computational topology and physics

2015-03-30 through 2015-04-02
University of Wisconsin-Madison
Madison, Wisconsin; USA

Meeting Type: conference

Subject Area: Geometry, Algebraic Topology

Contact: see conference website

Description

The conference is focused around recent developments in the theory of stratified spaces. The main topics of the conference include:

Codimension two embedding theory (knots and hypersurface singularities)

Characteristic classes of singular varieties

Singular spaces in mathematical physics

Stratified spaces in computation topology

April 2015

Analysis and Geometry in Metric Spaces

2015-04-01 through 2015-06-30
ICMAT
Madrid; Spain

Meeting Type: Trimester

Subject Area: Analysis and Geometry

Contact: see conference website

Description

We are organizing a series of activities at ICMAT which will bring together a number of first rank specialists in this growing trend. They consist of four introductory courses to this subject, a series of seminars and one large workshop. The courses will take place in May 2015, so that non-specialists interested in learning something about this new field will be more prepared to face the subsequent workshop (from June 1st to June 5th). This will serve as a platform to launch a number of specialized seminars in June. There will also be a few seminars (or a less specialized character) in April.

The organization will offer a number of grants for young researchers covering accomodation for 6 weeks, including the introductory courses and the workshop.

Second international conference in Mathematics and Statistics

2015-04-02 through 2015-04-05
American University of Sharjah (AUS)
Sharjah; United Arab Erimates

Meeting Type: conference

Subject Area:

Contact: see conference website

Description

The conference offers a forum for researchers and scientists working in the fields of pure mathematics, applied mathematics, mathematics education and statistics to come together, discuss new research developments and network with one another. The conference will be held in cooperation with the American Mathematical Society (AMS).

Talbot Workshop on the Little Disks Operad

2015-04-05 through 2015-04-11
Oregon; USA

Meeting Type: Workshop

Subject Area: algebraic topology

Contact: see conference website

Description

Topic: The 2015 Talbot workshop, aimed toward graduate students and other young researchers, will give an introduction to the homotopy theory of little disks operads and its applications.

Mentor: The 2015 Talbot workshop will be mentored by Prof. Kathryn Hess of EPFL and Prof. Dev Sinha of the University of Oregon.

Format: 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.

Timeline: Applications for the 2015 Talbot Workshop are now open and will close at midnight on December 31, 2014. We'll notify all applicants of our decisions by midnight on January 15, 2015, and we expect to assign all talks by early-to-mid February 2015.

Funding: We will cover all local expenses including lodging and food. We also have limited funding available for participants' travel costs.

Who should apply: Talbot is meant to encourage collaboration among young researchers, particularly graduate students. To this end, the workshop aims to gather participants with a diverse array of knowledge and interests, so applicants need not be an expert in the field. In particular, students at all levels of graduate education are encouraged to apply. Our decisions are based not on applicants' credentials but on our assessment of how much they would benefit from the workshop.

LMS Regional meeting and workshop

2015-04-07 through 2015-04-11
University of Lancaster
Lancaster, Lancashire; UK

Meeting Type: Workshop

Subject Area: homotopical algebra and its applications

Contact: see conference website

Description

This is to announce an LMS Northern Regional Meeting and workshop to be held in University of Lancaster on April 7-11, 2015. The year 2015 is the 150th anniversary of the LMS and this event is a commemorative one. Its central theme is homotopical algebra and its applications. The Meeting speakers are:

P. Neumann I. Moerdijk D. Sullivan

Among invited speakers at the workshop are:

D.-C. Cisinski V. Ginzburg M. Gross I. Grojnowski V. Hinich D. Joyce A. King M. Livernet

Limited funds are available for UK-based PhD students.

May 2015

30th Annual Geometry Festival

2015-05-01 through 2015-05-03
NewYork University, Courant Institute of Mathematical Sciences
New York; USA

Meeting Type: conference

Subject Area: Geometry

Contact: see conference website

Description

The 30th Annual Geometry Festival will be held at the Courant Institute of Mathematical Sciences from Friday, May 1, to Sunday, May 3, 2015. All lectures will be in Warren Weaver Hall.

Everyone is invited to the Geometry Festival, and graduate students are especially encouraged to attend.

This conference has financial support from the NSF, the Courant Institute, and the University of Pennsylvania.

Homotopy theory, manifolds, and field theories

2015-05-04 through 2015-05-08
Hausdorff Research Institute for Mathematics (HIM)
Bonn; Germany

Meeting Type: Introductory School

Subject Area: Geometry, Algebraic Topology

Contact: see conference website

Description

This school provides an introduction to some of the main topics of the trimester program; the lectures are mainly directed at graduate students and postdocs.

The following speakers will each give a sequence of lectures, which will be complemented by daily problem and discussion sessions.

David Ayala: Factorization Homology Oscar Randal-Williams: Moduli spaces of manifolds Stefan Schwede: Global equivariant homotopy theory Peter Teichner: Ring spectra from geometric field theories

Financial support for PhD students and postdocs is available. Please send applications (including a letter of intent, a CV, and a letter of recommendation) using the online application form. The deadline for applications is January 15, 2015.

Lehigh University Geometry and Topology conference (Birthday for Don Davis)

2015-05-22 through 2015-05-24
Bethlehem, Pennsylvania; USA

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

Description

none

June 2015

International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2015)

2015-06-03 through 2015-06-06
Istanbul Commerce University
Istanbul; Turkey

Meeting Type: conference

Subject Area: algebraic topology,Topological groups, homological algebra

Contact: Ekrem Savas

Description

International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2015) is aimed to bring researchers and professionals to discuss recent developments in both theoretical and applied mathematics and to create a professional knowledge exchange platform between mathematicians.
INVITED SPEAKERS -Prof. Martin Bohner, Missouri S&T. USA
-Prof. Jeff Connor, Ohio University, USA
-Prof. Ljubisa D.R. Kocinac, Uni. of Nis, Serbia
-Prof. Ferenc Moricz, Uni. of Szeged, Hungary
-Prof. Zuhair Nashed, Uni. of Central Florida, USA
-Prof. Reza Saadati, Iran Uni. of Sci. and Tech., Iran
-Prof. A.-S.F. Obada, Al-Azhar Uni., Egypt
-Prof. M. Abdel-Aty, Uni. of Sci. & Tech. at Zewail City, Egypt
-Prof. Allaberen Ashyralyev, Fatih Uni., Turkey
-Prof. Ravi P. Agarwal, Texas A&M Uni., USA

Dubrovnik VIII - Geometric Topology, Geometric Group Theory & Dynamical Systems

2015-06-22 through 2015-06-26
Inter-University Centre Dubrovnik
Dubrovnik; Croatia

Meeting Type: conference

Subject Area: Geometry and Topology

Contact: see conference website

Description

Dubrovnik Topology Conferences have a long tradition dating back almost 40 years. The 2011 conference Dubrovnik VII had an emphasis in geometric topology and geometric group theory.

Advances in Homotopy Theory

2015-06-29 through 2015-07-01
Université de Strasbourg
Strasbourg; France

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

Description

ADVANCES IN HOMOTOPY THEORY – a conference in honour of Hans-Werner Henn on the occasion of his 60th birthday -

The conference will be held in Strasbourg (France), from June 29 to July 1st 2015.

Invited speakers: - Mark Behrens (Notre Dame) - Paul Goerss (Northwestern) - John Greenlees (Sheffield) - Jean Lannes (Paris 7) - Gerd Laures (Bochum) - Niko Naumann (Regensburg) - Bob Oliver (Paris 13) - Charles Rezk (Illinois at Urbana-Champaign) - Lionel Schwartz (Paris 13) - Vesna Stojanoska (MPIM Bonn) - Peter Symonds (Manchester) - Christine Vespa (Strasbourg)

Geometries in action, a conference in honor of Étienne Ghys

2015-06-29 through 2015-07-03
École normale supérieure
Lyon; France

Meeting Type: conference

Subject Area: Geometry

Contact: see conference website

Description

Geometries in action is a conference in honor of Étienne Ghys, to be held at the École normale supérieure in Lyon, from June 29 to July 3, 2015. There will be three mini-courses and some plenary talks.

PIMS Symposium on the Geometry and Topology of Manifolds

2015-06-29 through 2015-07-10
University of British Columbia
British Columbia; Canada

Meeting Type: conference

Subject Area: Geometry and Topology

Contact: see conference website

Description

The objective will be to bring together mathematicians working on a broad range of topics in this area, and provide an opportunity for researchers and graduate students to learn about new connections. The program will include a combination of expository and research talks, as well as time for informal contacts and exchanges of ideas. Some particular themes that we hope will be represented during this activity include geometric structures and analysis on manifolds (e.g Ricci flow, Einstein metrics, special holonomy); geometric group theory and 3-manifolds; geometric topology (e.g surgery theory, cobordism and stability of diffeomorphisms); smooth 4-manifolds and gauge theory; symplectic geometry and topology.

July 2015

GAP XIII

2015-07-06 through 2015-07-10
IBS Center for Geometry and Physics
Pohang; Korea South

Meeting Type: conference

Subject Area: Geometry

Contact: see conference website

Description

It will be held at the Pohang University of Science and Technology (POSTECH) Information Research Laboratories, and at the Institute for Basic Science (IBS) Center for Geometry and Physics, in Pohang, South Korea, during the week July 6-10, 2015.

The attendance fee is $0. Some support for local expenses will be available for a limited number of participants, and partial support for travel may be available for young US participants (to be confirmed). It is recommended to apply early. The deadline for support applications (registration + CV) is February 15, 2015.

Young Topologists' Meeting 2015

2015-07-06 through 2015-07-10
EPFL
Lausanne, Vaud; Switzerland

Meeting Type: conference

Subject Area: algebraic topology, category theory, applied topolgy

Contact: Kay Werndli

Description

The goal is to bring together graduate students, recent PhDs and young researchers to give talks concerning their own work. In addition, there will be two mini-courses:

Emily Riehl (Harvard University): Infinity category theory from scratch, Gunnar Carlsson (Stanford University): Methods of applied topology.

August 2015

Topology and Geometry Conference

2015-08-17 through 2015-08-21
Bonn; Germany

Meeting Type: conference

Subject Area: algebraic topology

Contact: see conference website

Description

Confirmed Speakers:

Ian Agol, Mark Behrens, Martin Bridson, Danny Calegari, Sylvain Cappell Thomas Church, Benson Farb, Thomas Farrell, Dan Freed, Jesper Grodal, Lars Hesselholt, Mike Hopkins, Jacob Lurie, Ib Madsen, Birgit Richter, Thomas Schick, Andreas Thom, Daniel Wise

Organizers: Wolfgang Lück, Stefan Schwede, Peter Teichner sponsored by the Leibniz Prize funds awarded to Wolfgang Lück

January 2016

MSRI Differential Geometry - Spring 2016

2016-01-14 through 2016-05-06
MSRI
Berkeley, CA; USA

Meeting Type: conference

Subject Area: Differential Geometry

Contact: see conference website

Description

Differential geometry is a subject with both deep roots and recent advances. Many old problems in the field have recently been solved, such as the Poincaré and geometrization conjectures by Perelman, the quarter pinching conjecture by Brendle-Schoen, the Lawson Conjecture by Brendle, and the Willmore Conjecture by Marques-Neves. The solutions of these problems have introduced a wealth of new techniques into the field. This semester-long program will focus on the following main themes: (1) Einstein metrics and generalizations, (2) Complex differential geometry, (3) Spaces with curvature bounded from below, (4) Geometric flows, and particularly on the deep connections between these areas.