BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Rachel Webb (UC Berkeley) DTSTART:20200918T190000Z DTEND:20200918T200000Z DTSTAMP:20260407T214209Z 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/ END:VEVENT END:VCALENDAR