Representation Theory & Categorification IV - Catharina Stroppel
Автор: Institute for Advanced Study
Загружено: 2021-05-28
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2021 Women and Mathematics - Uhlenbeck Course Lecture
Topic: Representation Theory & Categorification IV
Speaker: Catharina Stroppel
Affiliation: University of Bonn
Date: May 28, 2021
In modern representation theory we often study the category of modules over an algebra, in particular its intrinsic and combinatorial structures. Vice versa one can ask the question: which categories have a given combinatorics? This is the basic insight into the concept of categorification. Categorification is a recent development which often provides finer invariants and is used in different areas of mathematics (such as knot theory). We will explain a crucial ingredient in categorification: diagrammatics of tensor categories. We will focus on a few examples that arise in current research, such as Deligne categories. This course provides a categorical framework for the structures studied in the elementary course.
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