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Wall-crossing in Gromov-Witten and Landau-Ginzburg theory

Structures in Enumerative Geometry March 19, 2018 - March 23, 2018

March 19, 2018 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Emily Clader (San Francisco State University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



The theory of quasi-maps, developed in recent work of Ciocan-Fontanine and Kim, is a generalization of Gromov-Witten theory that depends on an additional stability parameter varying over positive rational numbers. When that parameter tends to infinity, Gromov-Witten theory is recovered, while when it tends to zero, the resulting theory encodes information related to the "B-model." Ciocan-Fontanine and Kim proved a wall-crossing formula exhibiting how the theory changes with the stability parameter, and in this talk, we discuss an alternative proof of their result as well as a generalization to other gauged linear sigma models. This is joint work with Felix Janda and Yongbin Ruan.

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H.264 Video 3-Clader.mp4 450 MB video/mp4 rtsp://videos.msri.org/data/000/030/944/original/3-Clader.mp4 Download
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