Ημερομηνία: Πέμπτη 04/06/2026

Ώρα: 13:00 - 14:00

Αίθουσα: Γ31

Ομιλητής: Robert Muth (Duquense University, Pittsburgh)
(https://robmuth.com/)

Title: Crystals and KLR representations in type A_1^(1)

Abstract: Crystal bases are a powerful tool for studying representations
of quantum groups, and the crystal B(∞) plays a central organizing role:
it encodes the combinatorial skeleton of highest weight representations
and arises naturally in the categorification program. I will discuss two
important models for this crystal in the ‘easiest' affine type A_1^(1):
Kleshchev multipartitions, which describe 2-modular branching rules for
cyclotomic Hecke algebras, and affine MV polytopes, which encode PBW data
for the affine sl_2 quantum group. I will then describe a combinatorial
dictionary between these models. These two perspectives interact naturally
in the realm of categorification and KLR algebras, where they govern
different representation-theoretic regimes. Translating between regimes
recovers some new results in the modular representation theory of
symmetric groups.

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Ιστοσελίδα σεμιναρίου: https://sites.google.com/view/nkua-math-colloquium/