## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Pretalk: Volume of convex polytopes and number of solutions of a system of algebraic equations

**Speaker:** Kiumars Kaveh

**Speaker Info:** Pittsburgh

**Brief Description:**

**Special Note**:

**Abstract:**

I will discuss the Bernstein-Kushnirenko theorem on the number of solutions of a system of Laurent polynomials in terms of volumes of their Newton polytopes. I will explain the beautiful connection this establishes between convex geometry and algebraic geometry. If time permits I will describe our recent result which generalizes this to convex bodies and systems of algebraic equations on arbitrary varieties. Most of the talk should be understandable with just undergraduate background in algebra and geometry.

**Date:** Thursday, March 31, 2011

**Time:** 1:00pm

**Where:** Lunt 103

**Contact Person:** Owen Gwilliam

**Contact email:** gwilliam@math.northwestern.edu

**Contact Phone:**

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