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SUMMARY:Yefeng Shen (University of Oregon)
DTSTART:20210301T230000Z
DTEND:20210302T000000Z
DTSTAMP:20260423T022833Z
UID:UBC-AG/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC-AG/21/">
 Virasoro constraints in quantum singularity theory</a>\nby Yefeng Shen (Un
 iversity of Oregon) as part of UBC Vancouver Algebraic Geometry Seminar\n\
 n\nAbstract\nIn this talk\, we introduce Virasoro operators in quantum sin
 gularity theories for nondegenerate quasi-homogeneous polynomials with non
 trivial diagonal symmetries. Using Givental's quantization formula of quad
 ratic Hamiltonians\, these operators satisfy the Virasoro relations. Inspi
 red by the famous Virasoro conjecture in Gromov-Witten theory\, we conject
 ure that the genus g generating functions arise in quantum singularity the
 ories are annihilated by the Virasoro operators. We verify the conjecture 
 in various examples and discuss the connections to mirror symmetry of LG m
 odels and LG/CY correspondence. This talk is based on work joint with Weiq
 iang He.\n
LOCATION:https://researchseminars.org/talk/UBC-AG/21/
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