- Monday, October 2, 2017, 4:00pm, at NCSU, Triangle Topology Seminar
*Flow and Yamada polynomials, planar triangulations, and TQFT*

Slava Krushkal (University of Virginia)- In the 1960s Tutte observed that the value of the chromatic polynomial of planar triangulations at (golden ratio +1) obeys a number of remarkable properties. In this talk I will explain how TQFT gives rise to a conceptual framework for studying planar triangulations. I will discuss several extensions of Tutte's results and applications to the structure of the chromatic and flow polynomials of graphs, and the Yamada polynomial of spatial graphs. This talk is based on joint works with Ian Agol and with Paul Fendley.

- Tuesday, October 10, 2017, 4:30pm, at UNC, Triangle Topology Seminar
*Hall algebras and the Fukaya category*

Peter Samuelson (University of Edinburgh)- The Hall algebra is an invariant of an abelian (or triangulated) category C whose multiplication comes from "counting extensions in C." Recently, Burban and Schiffmann defined the "elliptic Hall algebra" using coherent sheaves over an elliptic curve, and this algebra has found applications in knot theory, mathematical physics, combinatorics, and more. In this talk we discuss some background and then give a conjectural description of the Hall algebra of the Fukaya category of a topological surface. This is partially motivated by an isomorphism between the elliptic Hall algebra and the skein algebra of the torus, which we also discuss. (Joint works with H. Morton and with B. Cooper.)

- Monday, October 23, 2017, 3:15pm, 119 Physics, Triangle Topology Seminar
*Complex curves through a contact lens*

Kyle Hayden (Boston College)- Every four-dimensional Stein domain has a height function whose regular level sets are contact three-manifolds. This allows us to study complex curves in the Stein domain via their intersection with these contact level sets, where we can comfortably apply three-dimensional tools. We use this perspective to characterize the links in Stein-fillable contact manifolds that bound complex curves in their Stein fillings. (Some of this is joint work with Baykur, Etnyre, Hedden, Kawamuro, and Van Horn-Morris.)

- Tuesday, November 7, 2017, 4:30pm, at NCSU, Triangle Topology Seminar
*TBA*

Faramarz Vafaee (California Institute of Technology)- TBA

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