OIST Representation Theory Seminar

Speaker: Nick Davidson, Reed College

Title: Type P Webs and Howe Duality

OIST Representation Theory Seminar

Speaker: Alistair Savage, University of Ottawa

Title: Affinization of monoidal categories

OIST Representation Theory Seminar

Speaker: Chris Chung, OIST

Title: \(\imath\)Quantum Covering Groups: Serre presentation and canonical basis

OIST Representation Theory Seminar

Speaker: Matthew Fayers, Queen Mary University of London

Title: The Mullineux map

OIST Representation Theory Seminar

Speaker: Nicolas Jacon, University of Reims Champagne-Ardenne

Title: Cores of Ariki-Koike algebras

OIST Representation Theory Seminar

Speaker: Qi Wang, Osaka University

Title: On τ-tilting finiteness of Schur algebras

OIST Representation Theory Seminar

Speaker: Jieru Zhu, Hausdorff Institute of Mathematics

Title: Double centralizer properties for the Drinfeld double of the Taft algebras

OIST Representation Theory Seminar

Speaker:  Rob Muth, Washington and Jefferson College

Title: Specht modules and cuspidal ribbon tableaux

OIST Representation Theory Seminar

Speaker:  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

Speaker:  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.