ICTP Mathematics Seminar - Thursday 17 January, at 14:30 (Anne-Laure THIEL)

[Mabilo]

M A T H E M A T I C S   S E M I N A R S  2019


Thursday 17 January, at 14:30 hrs.


Anne-Laure Thiel (Stuttgart University)


Title: On some generalizations of the category of Soergel bimodules


Abstract:  The category of Soergel bimodules plays an essential role in 
(higher) representation theory and for the construction of homological 
invariants in knot theory. The aim of this talk is to present a 
generalization of Soergel category attached to a Coxeter group of type 
A_2. While Soergel category counts a generating bimodule per simple 
reflection, this generalization is obtained by taking one generator per 
reflection.

I will give a complete description of this category through a 
classification of its indecomposable objects and study its split 
Grothendieck ring. This gives rise to an algebra which is a quotient of 
the corresponding affine Hecke algebra of type A_2, that can be 
presented by generators and relations. This is joint work with Thomas Gobet.


VENUE: Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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