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SUMMARY:Qile Chen (Boston College)
DTSTART:20210322T220000Z
DTEND:20210322T230000Z
DTSTAMP:20260423T023015Z
UID:UBC-AG/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC-AG/15/">
 Counting curves in critical locus via logarithmic compactifications</a>\nb
 y Qile Chen (Boston College) as part of UBC Vancouver Algebraic Geometry S
 eminar\n\n\nAbstract\nI will introduce some recent developments and work i
 n progress on\nstudying Gauged Linear Sigma Models using logarithmic compa
 ctifications.\n\nThese logarithmic compactifications admit two types of vi
 rtual cycles ---\nthe reduced virtual cycles that recover Gromov-Witten in
 variants of\ncomplete intersections\,  and the canonical virtual cycles th
 at depend only\non the geometry of ambient spaces. These two types of virt
 ual cycles differ\nonly by a third virtual cycle of the boundary of the lo
 garithmic\ncompactifications. Using the punctured logarithmic maps of\nAbr
 amovich-Chen-Gross-Siebert\, these virtual cycles can be computed via the\
 ntropical and equivariant geometry of the logarithmic compactifications.\n
 This leads to a new method for computing Gromov-Witten invariants of\ncomp
 lete intersections.\n\nThe talk consists of joint work with Felix Janda\, 
 Yongbin Ruan\, Adrien\nSauvaget and Rachel Webb.\n
LOCATION:https://researchseminars.org/talk/UBC-AG/15/
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