Mina aganagic biography

Mina Aganagic. UC Berkeley. Research Area Particle Physics. Visit Tuesday, May 12, to Thursday, May 14, Knot categorification from mirror symmetry. Lecture 1: May 12, pm. In the series of lectures, I will describe two approaches to categorifying quantum link invariants which work uniformly for all simple Lie algebras, and originate from geometry and from string theory.

Many ingredients that go into the story have been found by mathematicians earlier, but physics spells out how they should be put together for a uniform framework for the knot categorification problem.

Mina aganagic math genealogy

One of the important aspects of both approaches is that the fact that decategorification gives the quantum link invariants one set out to categorify, becomes manifest. The first approach is based on derived categories of coherent sheaves on resolutions of slices in affine Grassmannians. While some elements of it are familiar to mathematicians, others are new.