Categorification by Volodymyr Mazorchuk

2012.10.17 | Christine Dilling

Date	Thu 21 Oct — Wed 27 Oct
Time	09:00  —  16:00
Location	QGM, Aarhus University

Abstract

The term categorification was introduced by Louis Crane and describes the process of replacing set-theoretic objects and statements by category-theoretic analogues. The idea of categorification is very useful for the study of invariants of topological and algebraic objects. The aim of these lectures is to describe the idea, formalism and give many examples of categorification modeled using functorial actions on the Bernstein-Gelfand-Gelfand category O.

Two principal applications are Khovanov homology of oriented links and Broue's abelian defect group conjecture for the symmetric group.

Additional speakers

• Sergey Arkhipov, Department of Mathematics, University of Toronto
• Catharina Stroppel, Department of Mathematics, University of Bonn

Preliminary schedule

• 10.00-10.45 Lecture (by V. Mazorchuk)
• 11.15-12.00 Lecture (by V. Mazorchuk)
• 14.00-14.45 Lecture (by V. Mazorchuk)
• 15.15-16.00 Lecture (by S. Arkhipov or C. Stroppel) See abstracts

Volodymyr Mazorchuk will give 3 lectures each weekday between 21-27 October. Sergey Arkhipov and Catharina Stroppel will give 3 and 2 lectures, respectively, during the same period. 

Visitor information

List of participants

Video recordings

Lecture notes