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Matrix factorizations in Gromov-Witten theory

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

March 22, 2018 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Mark Shoemaker (Colorado State University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14-Shoemaker

Abstract

Originally introduced by Eisenbud in the context of commutative algebra, matrix factorizations have since earned a prominent role in mathematical physics. In this talk I will describe recent work using matrix factorizations to define a cohomological field theory given the input data of a gauged linear sigma model. This construction gives a new description of the virtual class in Gromov-Witten theory, FJRW theory, and so-called hybrid models. This is joint work with Ciocin-Fontanine, Favero, Guere, and Kim

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14-Shoemaker

H.264 Video 14-Shoemaker.mp4 443 MB video/mp4 rtsp://videos.msri.org/data/000/030/971/original/14-Shoemaker.mp4 Download
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