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SUMMARY:Andrea Solotar (University of Buenos Aires\, Argentina)
DTSTART:20260429T120000Z
DTEND:20260429T130000Z
DTSTAMP:20260513T125026Z
UID:LAGOON/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/111/"
 >Algebraic versions of T² and of P¹×P¹ and Hochschild cohomology</a>\n
 by Andrea Solotar (University of Buenos Aires\, Argentina) as part of Long
 itudinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\n
 We analyze the Hochschild cohomology of triangular algebras that capture s
 ome aspects of the geometry and topology of the torus and of P¹×P¹\, as
  well as of the deformations of these algebras. In particular\, this shows
  that the cup product in the Hochschild cohomology of a triangular algebra
  generally does not follow the intuition from monomial algebras. Our examp
 les also demonstrate that the Hochschild cohomology of a deformation of an
  algebra may not undergo a reduction of dimension but still have a differe
 nt cup product structure\, and that the Hochschild cohomologies of the def
 ormations of two derivatively equivalent algebras can exhibit remarkably d
 ifferent behaviors. This is a joint work with Vladimir Dotsenko.\n\nThe Zo
 om link is\n\nhttps://uni-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQ
 SVRzREhoRE1PUT09\n\nMeeting ID: 918 7552 8987\nPassword: LAGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/111/
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