Mathematical Sciences Research Institute

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Group Representation Theory and Applications January 16, 2018 to May 25, 2018
Organizers Robert Guralnick (University of Southern California), Alexander Kleshchev (University of Oregon), Gunter Malle (TU Kaiserslautern), Gabriel Navarro (University of Valencia), Julia Pevtsova (University of Washington), Raphael Rouquier (University of California, Los Angeles), LEAD Pham Tiep (University of Arizona)

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.

Summary of Program

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Programmatic Workshops
February 01, 2018 - February 02, 2018 Connections for Women: Group Representation Theory and Applications
February 05, 2018 - February 09, 2018 Introductory Workshop: Group Representation Theory and Applications
April 09, 2018 - April 13, 2018 Representations of Finite and Algebraic Groups