Categorification in representation theory

ct.category-theory ra.rings-and-algebras rt.representation-theory
Start Date
2023-02-06 
End Date
2023-02-17 
Institution
The University of Sydney 
City
Sydney 
Country
Australia 
Meeting Type
Conference and workshop 
Homepage
https://www.maths.usyd.edu.au/u/catrep/#/ 
Contact Name
Asilata Bapat, Andrew Mathas, Daniel Tubbenhauer, Oded Yacobi 
Created
 
Modified
 

Description

This conference focuses on categorification and its applications in representation theory. Categorification is something of an art, where one mathematical object is replaced with another richer, and often categorical, one that often reveals deeper structual properties. Important examples of categorification in representation theory include the geometric categorifications of Ginzburg, Lusztig and Nakajima, which realize quantum groups and their representations in a geometric framework, and Khovanov's categorification of the Jones polynomial, and Elias and Williamson's proof of the Kazhdan-Lusztig positivity conjectures and Soergel's conjectures.

This conference brings some of the top experts in this field to discuss recent advances. The conference consists of:

A workshop, February 6-10, with three lecture series on different aspects of categorification The main conference, February 13-17.

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