Representation Theory and Categorification Seminar (Spring 2025)

This is a continuation of last semester's learning/research seminar on representation theory, often with an eye towards categorification. Inside talks will likely be disconnected talks from across representation theory and categorifcation, reflective of what the speaker is currently interested in working on; in particular this seminar is not cumulative and you are welcome to attend whatever talk you find interesting. We also plan to have outside talks. There may be talks relating to affine Hecke algebras, KLRW algebras, quantum affine algebras, Soergel bimodules, etc..

Talks will roughly be 1.25-1.5 hours, e.g. 45 minutes followed by a 5 minute break, followed by 45 more minutes. Please email Fan or Alvaro at fz2326@columbia.edu or alm2297@columbia.edu if you'd like to give a talk!

Schedule

01/24
Speaker: Cailan Li (Academia Sinica)
Title: How to compute Torus Link Homology
Abstract: Triply Graded link homology (HHH) categorifies the HOMFLY polynomial but it's quite hard to compute from the definition. In this talk we go over a paper of Elias and Hogancamp in which they introduce a method to compute HHH of torus links using categorified projectors.
01/30
Speaker: N/A
Title: Organizational meeting
Abstract: Since last week was Cailan's talk, we are having our organizational meeting this week instead.
02/06
Speaker: Davis Lazowski
Title: W-actions on q-characters
Abstract: After reviewing basic definitions and examples, we explain how to define a Weyl group action on q-characters of a quantum affine algebra following Frenkel-Hernandez.
02/13
Speaker: N/A
Title: No seminar
Abstract:
02/20
Speaker: N/A
Title: No seminar
Abstract:
02/27
Speaker: Fan Zhou
Title: KLRW algebras and category O
Abstract:

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