Combinatorics and Optimization Professor talk - Eric KatzExport this event to calendar

Tuesday, February 11, 2014 — 4:00 PM EST

The genus formula and tropical geometry

Speaker: Professor Eric Katz
Affiliation: University of Waterloo
Room: Mathematics and Computer Building (MC) 4040

Abstract:

A complex homogeneous polynomial in three variables describes an algebraic curve in projective space. This algebraic curve is a topologically a surface. We can ask what is the genus of the surface is in terms of the degree of the polynomial. This is the celebrated genus formula. We will prove it by decomposing the surface into simpler surfaces called pairs-of-pants. In doing so, we will introduce techniques of tropical geometry.

Location 
MC - Mathematics & Computer Building
4040
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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