University of Sydney Algebra Seminar
Thomas Gobet (University of Sydney)
Friday 1 June, 12-1pm, Place: Carslaw 375
On some generalizations of Soergel categories in small ranks
We describe the split Grothendieck ring of an extended category of Soergel
bimodules attached to a Coxeter group of type , 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 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.