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Physics and geometry of the knots-quivers correspondence

QMAP Seminar

Speaker: Pietro Longhi, ETH
Related Webpage: https://www.phys.ethz.ch/the-department/people/person-detail.MjQ5ODAy.TGlzdC81MTUsMTE3MjU5OTI5OQ==.html
Location: 2112 MSB
Start time: Fri, Dec 13 2019, 11:00AM

I will discuss physical and geometric aspects of a recent conjecture that relates knot invariants and quiver representation theory.

We propose a physical model for the quiver data attached to a knot, in terms of holomorphic disks ending on its conormal brane in M theory. Motivated by this picture, we also introduce a notion of quiver skein relations, and argue that they generate a large class of 3d N=2 dualities. This is joint work with Tobias Ekholm and Piotr Kucharski.