Calendar
Printer-friendly versionTuesday, March 25, 2025
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| All day |
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| 4:00pm |
03/25/2025 - 4:00pm In the 1950s, Coxeter considered the quotients of braid groups given by adding the relation that all half Dehn twist generators have some fixed, finite order. He found a remarkable formula for the order of these groups in terms of some related Platonic solids. Despite the inspiring apparent connection between these objects, Coxeter's proof boils down to a finite case check that reveals nothing about the structure present. I'll explain recent work that gives an interpretation of the truncated 3-strand braid group that makes the connection with Platonic solids clear, using down-to-earth geometric and algebraic topological tools. This is joint work with Tahsin Saffat. Location:
KT 207
03/25/2025 - 4:00pm to 6:00pm The BGG category O plays an important role in the study of representations of semisimple Lie algebras. Its connection to the Hecke category is a starting point of Geometric Representation Theory. In this lecture, I will introduce a version of category O for quantum groups at roots of unity. I will explain a derived equivalence from (the principal block of) quantum category O to the affine Hecke category. Under the equivalence, the highest weight structure of quantum category O provides a categorification of the “periodic Hecke module”. In the first lecture, I will briefly review the classical story for BGG category O. Then I will give an introduction to the quantum category O with motivations. Location:
KT 801
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