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Seminars

Seminar in Representation Theory

Ext Enhanced Soergel Bimodules, Gomi's Trace and Link Homology

2024/04/02 (Tue.) 11:00~12:00
  • Date : 2024/04/02 (Tue.) 11:00~12:00
  • Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
  • Speaker : Cailan Li (Columbia University)
  • Organizer : Chun-Ju Lai (AS)
  • Abstract : Soergel Bimodules began as an alternative approach to proving the illustrious Kazhdan-Lusztig conjectures and have since become a cornerstone of representation theory and link homology. In this talk we will give a diagrammatic presentation for Ext groups between Soergel Bimodules in rank 2 à la Elias-Khovanov and Elias-Williamson. We then show how Ext groups of Soergel Bimodules in rank 2 categorifies Gomi's Trace, a generalization of Markov's trace to any finite Coxeter group. Time permitting, we might show how our results can be used to help compute triply graded link homology HHH for braids on 3 strands.
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