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1

Summer Graduate School:Commutative Algebra and Related Topics

22 May 2017 - 02 Jun 2017 • 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.

Event listing ID:

835152

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2

Summer Graduate School: Subfactors

12 Jun 2017 - 23 Jun 2017 • 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.

Event listing ID:

832074

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3

Soergel Bimodules

26 Jun 2017 - 07 Jul 2017 • 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 listing ID:

832138

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4

Stillman‘s Conjecture and other Progress on Free Resolutions

17 Jul 2017 - 21 Jul 2017 • 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 listing ID:

895447

Event website:

5

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

24 Jul 2017 - 28 Jul 2017 • Auburn, AL, United States

Abstract:

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

Event listing ID:

859105

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6

ILAS 2017: Connections

24 Jul 2017 - 28 Jul 2017 • 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 listing ID:

881380

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7

Summer Graduate School: Automorphic Forms and the Langlands Program

24 Jul 2017 - 04 Aug 2017 • 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.

Event listing ID:

835267

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8

Fourth Mile High Conference on Nonassociative Mathematics

29 Jul 2017 - 05 Aug 2017 • 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.

Event listing ID:

881499

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9

AIM workshop — Crouzeix's conjecture

31 Jul 2017 - 04 Aug 2017 • 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 listing ID:

815218

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10

AG17 — SIAM Conference on Applied Algebraic Geometry

31 Jul 2017 - 04 Aug 2017 • 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.

Event listing ID:

832141

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11

Interactions between Representation Theory and Algebraic Geometry

21 Aug 2017 - 25 Aug 2017 • Chicago, Illinois, United States

Event listing ID:

902310

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12

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

28 Aug 2017 - 01 Sep 2017 • 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.

Event listing ID:

881490

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13

Summer Graduate School: Derived Categories

25 Jun 2018 - 06 Jul 2018 • 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.

Event listing ID:

881805

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14

Derived Algebraic Geometry

22 Jan 2019 - 24 May 2019 • 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.

Event listing ID:

881868

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15

Birational Geometry and Moduli Spaces

22 Jan 2019 - 24 May 2019 • 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.

Event listing ID:

881823

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