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1.

AIM workshop — Fisher-Hartwig asymptotics, Szego expansions, and applications to statistical physics

ID

815072

Dates

27 Mar 2017 - 31 Mar 2017

Location

American Institute of Mathematics, San Jose, Calif, United States

Abstract

This workshop, sponsored by AIM and the NSF, will focus on the theory of Toeplitz matrices (TM) and Wiener-Hopf operators (WHO). In the recent ten or so years, the theory of these operators (TM and WHO) attracted a great deal of renewed attention from mathematical and theoretical physics communities due to the mathematical beauty of problems involved, and due to new applications in physics. For example, novel developments in quantum information theory and statistical physics concern the asymptotics of the (quantum) entanglement entropy of thermal equilibrium states, the overlap of ground states in the Anderson orthogonality catastrophe and the emptiness formation probability in quantum spin models. These quantities can be deduced from suitable Szego limit theorems, that is, from asymptotic results for traces of certain functions of TM and WHO.

Event website

2.

Hot Topics: Galois Theory of Periods and Applications

ID

879845

Dates

27 Mar 2017 - 31 Mar 2017

Location

Mathematical Sciences Research Institute, Berkeley, United States

Abstract

Periods are integrals of algebraic differential forms over algebraically-defined domains and are ubiquitous in mathematics and physics. A deep idea, originating with Grothendieck, is that there should be a Galois theory of periods. This general principle provides a unifying approach to several problems in the theory of motives, quantum groups and geometric group theory. This conference will bring together leading experts around this subject and cover topics such as the theory of multiple zeta values, modular forms, and motivic fundamental groups.

Event website

3.

AIM workshop — Foundations of tropical schemes

ID

815126

Dates

10 Apr 2017 - 14 Apr 2017

Location

American Institute of Mathematics, San Jose, Calif, United States

Abstract

This workshop, sponsored by AIM and the NSF, will focus on the continuing development of scheme-theoretic techniques in tropical geometry and their applications to broad questions in tropical geometry and algebraic geometry. Tropical scheme theory seeks to generalize the standard constructions in scheme theory to semirings, with the aim of providing algebraic and geometric foundations for tropical geometry. The goals of this workshop are to develop a common language and shared understanding of this developing theory and to explore applications.

Related subject(s)

Event website

4.

AIM workshop — Engel structures

ID

815103

Dates

17 Apr 2017 - 21 Apr 2017

Location

American Institute of Mathematics, San Jose, Calif, United States

Abstract

This workshop, sponsored by AIM and the NSF, will be devoted to the emerging theory of Engel structures on four-manifolds, especially questions of rigidity versus flexibility, and its (potential) connections with contact topology, dynamics, and four-dimensional differential topology and gauge theory.

The main purpose of the workshop is to review some recent progress on the existence of Engel structures and to stimulate further research by bringing into focus geometrically interesting questions and by making connections to the modern theory of four-manifolds. With this goal in mind, the workshop will bring together people with different areas of expertise: those responsible for previous work on Engel structures, experts in contact topology and related topics, and experts on four-manifolds. Questions of a more dynamical flavor as well as questions pertaining to subriemannian geometry may also be discussed.

Related subject(s)

Event website

5.

Texas Algebraic Geometry Symposium

ID

847802

Dates

21 Apr 2017 - 23 Apr 2017

Location

Houston, TX, United States

Abstract

Texas Algebraic Geometry Symposium , at Rice University.

Related subject(s)

Event website

6.

Midwest Algebraic Geometry Graduate Conference 2017

ID

859032

Dates

21 Apr 2017 - 23 Apr 2017

Location

Chicago, IL, United States

Abstract

Midwest Algebraic Geometry Graduate Conference 2017 , at the University of Illinois at Chicago.

Related subject(s)

Event website

7.

Methods in Geometry and Physics

ID

795662

Dates

05 May 2017 - 07 May 2017

Location

Allerton, IL, United States

Related subject(s)

Event website

8.

"Geometry of moduli spaces"

ID

878293

Dates

19 May 2017 - 21 May 2017

Location

San Diego, California, United States

Abstract

"Geometry of moduli spaces" , at the University of California at San Diego.

Related subject(s)

Event website

9.

Summer Graduate School:Commutative Algebra and Related Topics

ID

835152

Dates

22 May 2017 - 02 Jun 2017

Location

Mathematical Sciences Research Institute, Berkley, United States

Abstract

The purpose of the school will be to introduce graduate students to foundational results in commutative algebra, with particular emphasis of the diversity of the related topics with commutative algebra. Some of these topics are developing remarkably in this decade and through learning those subjects the graduate students will be stimulated toward future research.

Related subject(s)

Event website

10.

Summer Graduate School: Subfactors

ID

832041

Dates

12 Jun 2017 - 23 Jun 2017

Location

Mathematical Sciences Research Institute Berkeley, United States

Abstract

Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrice.

Related subject(s)

Event website

11.

Soergel Bimodules

ID

832072

Dates

26 Jun 2017 - 07 Jul 2017

Location

Mathematical Sciences Research Institute, Berkeley, United States

Abstract

We give an introduction to categorical representation theory, focusing on the example of Soergel bimodules, which is a categorification of the Iwahori-Hecke algebra. We will give a comprehensive intro.

Event website

12.

Stillman‘s Conjecture and other Progress on Free Resolutions

ID

895403

Dates

17 Jul 2017 - 21 Jul 2017

Location

Berkeley, California, United States

Abstract

Stillman‘s Conjecture and other Progress on Free Resolutions (a workshop in honor of the sixtieth birthdays of Dave Bayer and Mike Stillman), at the University of California.

Event website

13.

"Tensors and their uses in approximation theory, quantum information theory and geometry"

ID

859149

Dates

24 Jul 2017 - 28 Jul 2017

Location

Auburn, AL, United States

Abstract

NSF CBMS Conference on "Tensors and their uses in approximation theory, quantum information theory and geometry" , at Auburn University.

Related subject(s)

Event website

14.

ILAS 2017: Connections

ID

881424

Dates

24 Jul 2017 - 28 Jul 2017

Location

Iowa State University, Ames, Iowa, United States

Abstract

The 21st conference of the International Linear Algebra Society, ILAS 2017: Connections, will be held July 24-28, 2017 at Iowa State University in Ames, Iowa, USA. The theme of the conference is connections between linear algebra and other areas of mathematics, science, and engineering, and talks about such connections as well as within linear algebra itself are welcome. At this conference we will celebrate the 30th birthday of ILAS, which was founded in 1987 as the International Matrix Group.

Event website

15.

Summer Graduate School: Automorphic Forms and the Langlands Program

ID

835212

Dates

24 Jul 2017 - 04 Aug 2017

Location

Mathematical Sciences Research Institute, Berkeley, United States

Abstract

The summer school will be an introduction to the more algebraic aspects of the theory of automorphic forms and representations. One of the goals will be to understand the statements of the main conjectures in the Langlands programme. Another will be to gain a good working understanding of the fundamental definitions in the theory, such as principal series representations, the Satake isomorphism, and of course automorphic forms and representations for groups such as GL_n and its inner forms.

Related subject(s)

Event website

16.

Fourth Mile High Conference on Nonassociative Mathematics

ID

881455

Dates

29 Jul 2017 - 05 Aug 2017

Location

University of Denver, Denver, United States

Abstract

The Fourth Mile High Conference is an international conference on all aspects of nonassociative mathematics, including: The algebraic theory of quasigroups, loops, Lie algebras, Jordan algebras and quandles; the combinatorial theory of latin squares and triple systems; the geometric theory of 3-nets and latin square designs; applications of octonions and related structures in physics; applications of quandles in knot theory. The conference will open with a day (July 30) of introductory lectures on self-distributive structures.

Related subject(s)

Event website

17.

AIM workshop — Crouzeix's conjecture

ID

815218

Dates

31 Jul 2017 - 04 Aug 2017

Location

American Institute of Mathematics, San Jose, Calif, United States

Abstract

This workshop, sponsored by AIM and the NSF, will be devoted to Crouzeix's conjecture and related topics concerning the numerical range and other K-spectral sets.

Event website

18.

AG17 — SIAM Conference on Applied Algebraic Geometry

ID

832207

Dates

31 Jul 2017 - 04 Aug 2017

Location

Georgia Institute of Technology, Atlanta, United States

Abstract

The purpose of the SIAM Activity Group in Algebraic Geometry is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least: algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology. These methods have already seen applications in: biology, coding theory, cryptography, combustion, computational geometry, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, nonlinear partial differential equations, optimization, robotics, and statistics. We welcome participation from both theoretical mathematical areas and application areas not on this list which fall under this broadly interpreted notion of algebraic geometry and its applications.

Related subject(s)

Event website

19.

Summer School: Dyson-Schwinger Equations, Topological Expansions, and Random Matrices

ID

881512

Dates

28 Aug 2017 - 01 Sep 2017

Location

Columbia University, New York, United States

Abstract

Analyzing the large dimension asymptotics of highly correlated systems such as random matrices and random tilings has been a hot topic for the last twenty years. This summer school will investigate a general class of such models using the so-called Dyson-Schwinger equations and generalizations such as Nekrasov's equations. Alice Guionnet (Lyon) will give ten main lectures, divided into two per day. Besides these lectures there will be supplementary lectures by other senior researchers attending the school. This school is intended for graduate students and postdocs who are starting to learn random matrix theory and have some background in probability.

Related subject(s)

Event website

20.

Summer Graduate School: Derived Categories

ID

881849

Dates

25 Jun 2018 - 06 Jul 2018

Location

Mathematical Sciences Research Institute, Berkeley, United States

Abstract

The goal of the school is to give an introduction to basic techniques for working with derived categories, with an emphasis on the derived categories of coherent sheaves on algebraic varieties. A particular goal will be to understand Orlov's equivalence relating the derived category of a projective hypersurface with matrix factorizations of the corresponding polynomial.

Related subject(s)

Event website

21.

Derived Algebraic Geometry

ID

881802

Dates

22 Jan 2019 - 24 May 2019

Location

Mathematical Sciences Research Institute, Berkeley, United States

Abstract

Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating non-generic geometric situations (such as non-transverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the "moving" lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.

Related subject(s)

Event website

22.

Birational Geometry and Moduli Spaces

ID

881834

Dates

22 Jan 2019 - 24 May 2019

Location

Mathematical Sciences Research Institute, Berkeley, United States

Abstract

Birational Geometry and Moduli Spaces are two important areas of Algebraic Geometry that have recently witnessed a flurry of activity and substantial progress on many fundamental open questions. In this program we aim to bring together key researchers in these and related areas to highlight the recent exciting progress and to explore future avenues of research. This program will focus on the following themes: Geometry and Derived Categories, Birational Algebraic Geometry, Moduli Spaces of Stable Varieties, Geometry in Characteristic p>0, and Applications of Algebraic Geometry: Elliptic Fibrations of Calabi-Yau Varieties in Geometry, Arithmetic and the Physics of String Theory.

Related subject(s)

Event website

Last updated: 27 March 2017