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SUMMARY:Jethro van Ekeren (Institute of Pure and Applied Mathematics\, Bra
 zil)
DTSTART:20260810T150000Z
DTEND:20260810T160000Z
DTSTAMP:20260825T033428Z
UID:ENAAS/184
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/184/">
 Conformal blocks for quasi-lisse vertex algebras</a>\nby Jethro van Ekeren
  (Institute of Pure and Applied Mathematics\, Brazil) as part of European 
 Non-Associative Algebra Seminar\n\n\nAbstract\nThe space of conformal bloc
 ks is an important construct through which representation theory of infini
 te dimensional algebras and the geometry of complex curves influence one a
 nother. A celebrated theorem of Y. Zhu\, for example\, uses conformal bloc
 ks of a rational vertex algebra localised over an elliptic curve to prove 
 modularity of its characters. We study the conformal blocks of vertex alge
 bras localised over elliptic curves plus holomorphic line bundle. We prove
  that\, for vertex algebras satisfying a condition we call ``stable ration
 ality''\, characters are flat sections of a modular-invariant holonomic D-
 module over the moduli space. Joint work with Tomoyuki Arakawa and Hao Li.
 \n
LOCATION:https://researchseminars.org/talk/ENAAS/184/
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