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Knot Categorification from Geometry (via String Theory)

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

March 22, 2018 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Mina Aganagic (University of California, Berkeley)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

12-Aganagic
Abstract

I will describe three paths to categorification of RTW invariants of knots, and the relations between them. The first is based on a category of B type branes on resolutions of slices in affine Grassmannians, the second on a category of A-branes in the mirror Landau-Ginzburg theory. The third is the approach based on counting solutions to five dimensional
equations with gauge theory origin. All three approaches can be deduced starting from a string theory in six dimensions. This is based in joint works with Andrei Okounkov and with Dimitrii Galakhov.
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12-Aganagic

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