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SUMMARY:Verlinde formula for chiral homology [MPIM]
DTSTART:20260903T130000Z
DTEND:20260903T140000Z
DTSTAMP:20260828T023900Z
UID:indico-event-1549@math-events.uni-bonn.de
DESCRIPTION:Speakers: Elchanan Nafcha (MPIM)\n\nMPI-Oberseminar\nIn two-di
 mensional conformal field theory\, local holomorphic observables can be mo
 deled by vertex operator algebras. Their global counterparts\, the spaces 
 of conformal blocks\, form a twisted D-module over the moduli space of smo
 oth curves. In certain cases\, conformal blocks are known to extend to sta
 ble curves in such a way that they satisfy a gluing formula relating the c
 onformal blocks of a nodal curve to those of its normalization. When these
  D-modules are flat connections\, this reduces the computation of their ra
 nk to the genus-zero case\, leading to the famous Verlinde formula. I will
  describe a geometric implementation of these ideas in the language of Bei
 linson and Drinfeld’s chiral and factorization algebras. In particular\,
  this framework yields a gluing formula for the derived enhancement of con
 formal blocks given by chiral homology.\n\nhttps://math-events.uni-bonn.de
 /event/1549/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1549/
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