BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrea Solotar (University of Buenos Aires\, Argentina) DTSTART:20230724T150000Z DTEND:20230724T160000Z DTSTAMP:20260423T021134Z UID:ENAAS/32 DESCRIPTION:Title: T amarkin-Tsygan calculus for gentle algebras\nby Andrea Solotar (Univer sity of Buenos Aires\, Argentina) as part of European Non-Associative Alge bra Seminar\n\n\nAbstract\nThe whole structure given by the Hochschild coh omology and homology of an associative algebra A together with the cup and cap products\, the Gerstenhaber bracket and the Connes differential is ca lled the Tamarkin-Tsygan calculus. It is invariant under derived equivalen ce and if we can compute all these invariants provides a lot of informatio n. The calculation of the whole Tamarkin-Tsygan calculus is very difficult and generally not even possible for particular algebras. However\, there exist some calculations for individual algebras. The problem is\, in gener al\, that the minimal projective bimodule resolutions are difficult to fin d and even if one is able to compute such a resolution\, it might be so co mplicated that the computation of the Tamarkin-Tsygan calculus is not with in reach. For monomial algebras the minimal projective bimodule resolution is known and in the case of quadratic monomial algebras it is simple enou gh\, to embark on the extensive calculations of the Tamarkin Tsygan calcul us. Yet even for quadratic monomial algebras\, the combinatorial level of the calculations is such\nthat it is too complicated to calculate the whol e calculus. On the other hand for gentle algebras\, the additional constra ints on their structure are such that the calculations become possible. We will focus on the concrete aspects of these calculations.\n LOCATION:https://researchseminars.org/talk/ENAAS/32/ END:VEVENT END:VCALENDAR