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1

Group Representation Theory and Applications

16 Jan 2018 - 25 May 2018 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

Group Representation Theory is a central area of Algebra, with important and deep connections to areas as varied as topology, algebraic geometry, number theory, Lie theory, homological algebra, and mathematical physics. Born more than a century ago, the area still abounds with basic problems and fundamental conjectures, some of which have been open for over five decades. Very recent breakthroughs have led to the hope that some of these conjectures can finally be settled. In turn, recent results in group representation theory have helped achieve substantial progress in a vast number of applications. The goal of the program is to investigate all these deep problems and the wealth of new results and directions, to obtain major progress in the area, and to explore further applications of group representation theory to other branches of mathematics.

Event listing ID:

832292

Event website:

2

Introductory Workshop: Group Representation Theory and Applications

05 Feb 2018 - 09 Feb 2018 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will consist of six series of three lectures each given by top experts in the field. The lectures are designed for a diverse audience and will be accessible to nonspecialists and graduate students with some background in representation theory. Topics covered include Representation Theory of Algebraic Groups, Decomposition Numbers of Finite Groups of Lie Type, Deligne-Lusztig Theory, Block Theory, Categorification, and Local-global-conjectures.

Event listing ID:

967612

Event website:

3

Representations of Finite and Algebraic Groups

09 Apr 2018 - 13 Apr 2018 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of basic problems and conjectures in the field. Topics of the workshop include - Global-local conjectures in the representation theory of finite groups - Representations and cohomology of simple, algebraic and finite groups - Connections to Lie theory and categorification, and - Applications to group theory, number theory, algebraic geometry, and combinatorics.

Event listing ID:

832366

Event website:

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Last updated: 11 November 2017