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SUMMARY:Qin Li/李勤 (Southern University of Science and Technology)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260423T024027Z
UID:iccm2020/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/24/
 ">Quantization of Kapranov $L_\\infty$ structure and Bargmann-Fock sheaves
  on Kahler manifolds</a>\nby Qin Li/李勤 (Southern University of Science
  and Technology) as part of ICCM 2020\n\n\nAbstract\nIn this talk\, I will
  introduce a quantization of Kapranov $L_\\infty$ structure on K\\"ahler m
 anifolds\, which gives rise to a special class of solutions of Fedosov equ
 ations. These solutions give rise to one-loop exact BV quantization using 
 Costello's theory of effective renormalization.  By using these Fedosov co
 nnections\, we will also construct a sheaf of modules over deformation qua
 ntization algebra which we call Bargmann-Fock sheaves. This in particular 
 give rise to a representation of Berezin-Toeplitz quantization on Hilbert 
 spaces.\n
LOCATION:https://researchseminars.org/talk/iccm2020/24/
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