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:

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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