Geometry/Physics Seminar

Title: Compactifications of the moduli space of Riemann surfaces and a noncommutative BV-formalism
Speaker: Alastair Hamilton
Speaker Info: Texas Tech
Brief Description:
Special Note:

In this talk I will describe an analogue of a theorem of Kontsevich which will allow us to describe the homology of certain compactifications of the moduli space of Riemann surfaces through the Chevalley-Eilenberg homology of a differential graded Lie algebra. I will explain how this theorem may be applied to yield constructions of homology and cohomology classes in these moduli spaces and the role that deformation theory and the Batalin-Vilkovisky formalism play in this. Time permitting, I will provide an example of what happens when we pair the homology and cohomology classes produced by these constructions -- the numbers produced from them may be computed by evaluating a functional integral over a finite-dimensional space of fields.
Date: Thursday, April 26, 2012
Time: 4:00pm
Where: Lunt 107
Contact Person: Kevin Costello
Contact email: costello@math.northwestern.edu
Contact Phone:
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