Algebra Seminar: Gobet -- On some generalizations of Soergel categories in small ranks

Thomas Gobet (University of Sydney) 

Friday 1 June, 12-1pm, Place: Carslaw 375 

Title: On some generalizations of Soergel categories in small ranks 

Abstract: We describe the split Grothendieck ring of an extended category of Soergel
bimodules attached to a Coxeter group of type A_2, obtained by taking one generator per
reflection.  This gives rise to an algebra which is a quotient of the corresponding
affine Hecke algebra, and contains the (spherical) Hecke algebra of type A_2 as a
subalgebra.  We also sketch the construction of a category which is defined in a similar
way as Soergel's one, attached to a complex reflection group of rank one.  This is joint
work with Anne-Laure Thiel.