Knot Categorification from Geometry (via String Theory)
Structures in Enumerative Geometry March 19, 2018 - March 23, 2018
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
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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