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SUMMARY:Andrea Solotar (University of Buenos Aires and Guangdong Technion-
 Israel Institute of Technology)
DTSTART:20250218T060000Z
DTEND:20250218T070000Z
DTSTAMP:20260423T021259Z
UID:OISTRTS/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/65/"
 >On the tau-tilting Hochschild (co)homology of an algebra</a>\nby Andrea S
 olotar (University of Buenos Aires and Guangdong Technion-Israel Institute
  of Technology) as part of OIST representation theory seminar\n\n\nAbstrac
 t\nIn this talk I will introduce the tau-tilting Hochschild cohomology and
  homology of a finite dimensional k-algebra A\, where k is a field\, with 
 coefficients in an A-bimodule X. I will compute the dimension of the n-th 
 tau-tilting Hochschild cohomology for all n. The result is expressed as an
  alternating sum of the dimensions of classical Hochschild cohomology in l
 ower degrees\, plus an alternating sum of the dimensions of vector spaces 
 taking into account the Ext-algebra of A as well as the Peirce decompositi
 on of the bimodule X. I will also formulate a tau-tilting analogue of a qu
 estion by Happel and of Han’s conjecture. This is a joint work with Clau
 de Cibils\, Marcelo Lanzilotta and Eduardo Marcos.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/65/
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