Seminars & Colloquia Calendar

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Topology/Geometry Seminar

Mahler measure and the Vol-Det Conjecture

Ilya Kofman (CUNY)

Location:  Hill 525
Date & time: Tuesday, 30 October 2018 at 3:40PM - 4:40PM

Abstract:  A basic open problem is to understand how the hyperbolic volume of knots and links is related to diagrammatic knot invariants. The Vol-Det Conjecture relates the volume and determinant of alternating links. We prove the Vol-Det Conjecture for infinite families of alternating links using the dimer model, the Mahler measure of 2-variable polynomials, and the hyperbolic geometry of biperiodic alternating links.

This is joint work with Abhijit Champanerkar and Matilde Lalin.

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