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Home » EGN Main Seminar: Constructing the Yangian via Donaldson-Thomas theory

Seminar

EGN Main Seminar: Constructing the Yangian via Donaldson-Thomas theory January 31, 2018 (02:00 PM PST - 03:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Ben Davison (University of Glasgow)
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Abstract/Media

For a Nakajima quiver variety N, the Yangian, as constructed by Maulik and Okounkov, is a Lie algebra of endomorphisms of the cohomology of related quiver varieties, determining the equivariant quantum cohomology of N.  I will give a (conjecturally) equivalent description of this algebra, but this time coming from the side of Donaldson-Thomas theory.  I'll outline a few applications and generalizations, such as a strategy for proving Okounkov's conjecture regarding the graded dimensions of the Yangian, and the Bozec-Schiffmann cuspidal conjecture.

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