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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



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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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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