Oberseminar Darstellungstheorie
Categorification with unequal parametersOberseminar Darstellungstheorie
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Europe/Berlin
Endenicher Allee 60/1.008 - Seminarraum (Mathezentrum)
Endenicher Allee 60/1.008 - Seminarraum
Mathezentrum
Description
Categorification provides a powerful framework for studying bases of algebras and representations. A prominent example is the Hecke category, which categorifies the Hecke algebra. This algebra depends on a parameter q, reflected in a grading on the Hecke category. There also exist Hecke algebras with several unequal parameters. In this talk, we explore how certain small characteristic phenomena allow us to endow the Hecke category with multigradings that categorify these unequal parameters. This leads to a new and interesting theory of (p-)canonical bases.