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SUMMARY:Shengyuan Huang (University of Birmingham\, UK)
DTSTART:20220526T110000Z
DTEND:20220526T120000Z
DTSTAMP:20260423T024758Z
UID:LAGOON/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/72/">
 The HKR isomorphism and Hochschild cohomology</a>\nby Shengyuan Huang (Uni
 versity of Birmingham\, UK) as part of Longitudinal Algebra and Geometry O
 pen ONline Seminar (LAGOON)\n\n\nAbstract\nFor a smooth scheme X\, the HKR
  isomorphism identifies the Hochschild cohomology of X with the cohomology
  of polyvector fields as vector spaces. This isomorphism is known as the c
 lassical HKR isomorphism for the diagonal embedding: X in X\\timesX. We di
 scuss the generalization of the HKR isomorphism to arbitrary closed embedd
 ings and the corresponding functoriality property. Then we recall the gene
 ralization of the HKR isomorphism to orbifolds. We apply all the results a
 bove to study the product structure of orbifold Hochschild cohomology.\n\n
 Meeting Link\nhttps://uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJNOWUr
 R2xNalRuQWk3dz09\n\nMeeting ID: 918 7552 8987\nPassword: LAGOON2022\n
LOCATION:https://researchseminars.org/talk/LAGOON/72/
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