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Graduate Student Geometry-Topology Seminar

Wednesday, April 19, 2006 - 11:00am

Shea Vick

UPenn

Location

University of Pennsylvania

DRL 4C8

In recent years, Khovanov homology has been used to prove many difficult thoerems with relative ease. In this talk, we discuss one such result by Jacob Rasmussen, showing that the slice genus of a (p,q) torus knot is (p-1)(q-1)/2. This result is classically known as the Milnor conjecture, and until recently, the only known proof used high-powered techniques from gauge theory.