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UID:7d283c832810613b94db25a66000d828
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20260601T193542
SUMMARY:Generalized Markov traces through algebra and geometry
LOCATION:Hill Center 705
DESCRIPTION:
CONTACT:Kostiantyn Tolmachov (University of Hamburg)
X-EXTRAINFO:An important invariant of oriented links — the HOMFLY-PT polynomial — can b
 e computed using a functional on the Iwahori-Hecke algebra of type A called
  Markov trace. This functional, constructed by Jones and Ocneanu, satisfies
  a trace-like property, as well as a certain compatibility with respect to 
 the embeddings corresponding to the symmetric group embeddings S_2 -> S_
 3 -> ...\nMarkov traces are known to admit natural generalizations to Iw
 ahori-Hecke algebras of arbitrary Coxeter type, via techniques from geometr
 ic representation theory and the theory of Soergel bimodules. In this talk,
  I will explain how some classical expressions for Markov traces in type A 
 through the elementary symmetric polynomials in Jucys-Murphy elements, can 
 be generalized to families of types B and D.\n\nBased on a recent joint wor
 k with G. Zhylinskyi and earlier work with R. Bezrukavnikov
DTSTAMP:20260827T153053
DTSTART;TZID=America/New_York:20260605T121000
DTEND;TZID=America/New_York:20260605T131000
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