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Wall-crossing in quasimap theory

Introductory Workshop: Enumerative Geometry Beyond Numbers January 22, 2018 - January 26, 2018

January 24, 2018 (01:30 PM PST - 02:30 PM PST)
Speaker(s): Ionut Ciocan-Fontanine (University of Minnesota, Twin Cities)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Quasimap theory is concerned with curve counting on certain GIT quotients. In fact, one has a family of curve counting theories, with Gromov-Witten included, depending on the linearization in the GIT problem. I will present a wall-crossing formula, in all genera and at the level of virtual classes, as the size of the linearization changes. Some numerical consequences will be discussed as well. The talk will focus primarily on the recently established case of complete intersections in projective space (in this case, stable quasimaps coincide with stable quotients). This is joint work with Bumsig Kim

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H.264 Video 11-Fontanine.mp4 558 MB video/mp4 rtsp://videos.msri.org/data/000/030/477/original/11-Fontanine.mp4 Download
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