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SUMMARY:Rachel Webb (UC Berkeley)
DTSTART;VALUE=DATE-TIME:20200918T190000Z
DTEND;VALUE=DATE-TIME:20200918T200000Z
DTSTAMP;VALUE=DATE-TIME:20211209T074811Z
UID:agstanford/21
DESCRIPTION:Title: Virtual cycle on the moduli space of maps to a complete intersection\nby Rachel Webb (UC Berkeley) as part of Stanford algebraic geometry se
minar\n\n\nAbstract\nA driving question in Gromov-Witten theory is to rela
te the invariants of a complete intersection to the invariants of the ambi
ent variety. In genus-zero this can often be done with a ``twisted theory\
,'' but this fails in higher genus. Several years ago\, Chang-Li presented
the moduli space of p-fields as a piece of the solution to the higher-gen
us problem\, constructing the virtual cycle on the space of maps to the qu
intic 3-fold as a cosection localized virtual cycle on a larger moduli spa
ce (the space of p-fields). Their result is analogous to the classical sta
tement that the Euler class of a vector bundle is the class of the zero lo
cus of a generic section. I will discuss work joint with Qile Chen and Fel
ix Janda where we extend Chang-Li's result to a more general setting\, a s
etting that includes standard Gromov-Witten theory of smooth orbifold targ
ets and quasimap theory of GIT targets.\n
LOCATION:https://researchseminars.org/talk/agstanford/21/
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