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Physics 119 at Duke University

March 2018

Adam Saltz, University of Georgia – Topology Seminar

March 26, 2018 @ 3:15 pm - 4:30 pm

3:15 pm in Physics 119 at Duke University Title: Link homology and Floer homology in pictures by cobordisms Abstract: There are no fewer than eight link homology theories which admit spectral sequences from Khovanov homology. These theories have very different origins -- representation theory, gauge theory, symplectic topology -- so it's natural to ask for some kind of unifying theory. I will attempt to describe this theory using Bar-Natan's pictorial formulation of link homology. This strengthens a result of Baldwin, Hedden, and…

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April 2018

Melissa Zhang, Boston College – Triangle Topology Seminar

April 2, 2018 @ 3:15 pm - 4:30 pm

Physics 119 at Duke University, at 3:15 pm Speaker: Melissa Zhang, Boston College Title: Annular Khovanov homology and 2-periodic links Abstract: I will exhibit a spectral sequence from the annular Khovanov homology of a 2-periodic link to that of its quotient, which in turn proves rank inequalities and decategorifies to polynomial congruences. While previous work used heavier algebraic machinery to prove this rank inequality in a particular sl_2 weight space grading, we instead mimic Borel's construction of equivariant cohomology and employ grading…

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