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Geometry and Topology Seminar

Friday, March 6, 2020
3:00pm to 4:00pm
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Linde Hall 310
SL(3) foam evaluation and its relation to the Kronheimer-Mrowka homology theory of graphs
Mikhail Khovanov, Department of Mathematics, Columbia University,

In this talk we'll introduce SL(3) foams and their evaluation to symmetric functions in three variables. This construction gives rise to a functorial homology theory for plane trivalent graphs G. A naive conjecture is that the rank of this homology group assigned to G is the number of Tait colorings of G. A Tait coloring is the coloring of edges of a trivalent graph in three colors such that at each vertex the three edges have different colors. We'll discuss relation of this story to the Kronheimer-Mrowka homology theory and to the four-color theorem.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].