## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Topology of the moduli space of real curves of genus 0 with n labeled points

**Speaker:** Professor Pavel Etingof

**Speaker Info:** MIT

**Brief Description:**

**Special Note**:

**Abstract:**

M(0,n) is the Deligne-Mumford compactification
of the moduli space of algebraic curves of genus 0 with n labeled
points. This is a smooth projective variety defined over Q.
The topology of the complex locus of this variety,
M(0,n)(C), is well understood, thanks to the works of
Keel, Kontsevich-Manin, Getzler, and others. I will concentrate
on the less well known topology of the real locus,
M(0,n)(R), which was studied in the works
of Kapranov, Devadoss, Davis-Januskiewicz-Scott, and others.
In particular, I will describe the structure of the rational cohomology
algebra of this manifold,
its Poincare polynomial, and the homology operad, following
my recent joint work with A. Henriques, J. Kamnitzer, and E. Rains.

**Date:** Monday, April 30, 2007

**Time:** 1:00pm

**Where:** Lunt Common Room

**Contact Person:** Vasiliy Dolgushev

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

**Contact Phone:** 847-467-1298

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