Past Events
OIST Representation Theory Seminar
2020-09-29Speaker: Mahir Can, Tulane University
Title: Spherical Varieties and Combinatorics
Abstract: Let G be a reductive complex algebraic group with a Borel subgroup B. A spherical G-variety is an irreducible normal G-variety X where B has an open orbit. If X is affine, or if it is projective but endowed with a G-linearized ample line bundle, then the group action criteria for the sphericality is in fact equivalent to the representation theoretic statement that a certain space of functions (related to X) is multiplicity-free as a G-module. In this talk, we will discuss the following question about a class of spherical varieties: if X is a Schubert variety for G, then when do we know that X is a spherical L-variety, where L is the stabilizer of X in G.
OIST Representation Theory Seminar
2020-09-15Speaker: Chris Bowman, University of Kent
Title: Tautological p-Kazhdan–Lusztig Theory for cyclotomic Hecke algebras
Abstract: We discuss a new explicit isomorphism between (truncations of) quiver Hecke algebras and Elias–Williamson’s diagrammatic endomorphism algebras of Bott–Samelson bimodules. This allows us to deduce that the decomposition numbers of these algebras (including as examples the symmetric groups and generalised blob algebras) are tautologically equal to the associated p-Kazhdan–Lusztig polynomials, provided that the characteristic is greater than the Coxeter number. This allows us to give an elementary and explicit proof of the main theorem of Riche–Williamson’s recent monograph and extend their categorical equivalence to cyclotomic Hecke algebras, thus solving Libedinsky–Plaza’s categorical blob conjecture.
Representation Theory Seminar by Prof. Liron Speyer: Semisimple Specht modules indexed by bihooks
2020-07-30Hosted by Mathematics Department, Kyoto University.
https://www.math.kyoto-u.ac.jp/en/event/seminar/4419
Prof. Speyer will give a talk at Lab4 F01 and it will be seen on Zoom.