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SUMMARY:Cailan Li (Columbia University)
DTSTART:20240410T060000Z
DTEND:20240410T073000Z
DTSTAMP:20260422T155740Z
UID:HKUST-AG/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/45/
 ">Ext enhanced Soergel bimodules\, link homology\, and Gomi's trace</a>\nb
 y Cailan Li (Columbia University) as part of Algebra and Geometry Seminar 
 @ HKUST\n\nLecture held in 2126D.\n\nAbstract\nSoergel Bimodules began as 
 an alternative approach to proving the illustrious Kazhdan-Lusztig conject
 ures 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 use our results to (1) show how it helps with computi
 ng triply graded link homology for braids on 3 strands (2) show how Ext gr
 oups of Soergel Bimodules in rank 2 categorifies Gomi's Trace\, a generali
 zation of Markov's trace to the Hecke algebra of any finite Coxeter group.
 \n
LOCATION:https://researchseminars.org/talk/HKUST-AG/45/
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