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SUMMARY:Zhengping Gui (ITCP)
DTSTART:20220209T210000Z
DTEND:20220209T220000Z
DTSTAMP:20260414T173615Z
UID:BUGeom/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/34/">
 Elliptic trace map on chiral algebras</a>\nby Zhengping Gui (ITCP) as part
  of Boston University Geometry/Physics Seminar\n\nLecture held in Zoom mee
 ting ID: 953 4652 9200.\n\nAbstract\nTrace map on deformation quantized al
 gebra leads to the\nalgebraic index theorem. We investigate a two dimensio
 nal chiral analogue\nof the algebraic index theorem via the theory of chir
 al algebras developed\nby Beilinson and Drinfeld. We construct a trace map
  on the elliptic chiral\nhomology of the free beta-gamma system using the 
 BV\nquantization framework. As an example\, we compute the trace evaluated
  on\nthe unit constant chiral chain and obtain the formal Witten genus in 
 the\nLie algebra cohomology.\nThis talk is based on joint work with Si Li.
 \n
LOCATION:https://researchseminars.org/talk/BUGeom/34/
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