**NB:** A

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## String Topology

### Alexander A. Voronov

University of Minnesota and Northeastern University

###
Thursday, April 1, 2004

102 Bradley Hall, 4 pm

Tea 3:30 pm, Math Lounge

**Abstract: **
String Topology was introduced a few years ago by M. Chas and
D. Sullivan, who defined a new algebraic structure, that of a
BV-algebra, on the homology of the free loop space in a manifold. This
structure describes interaction of strings (loops) in the manifold and
mimics Gromov-Witten invariants in a purely topological setting. I
will discuss String Topology, as well as a higher-dimensional
generalization of it, where strings get replaced by spheres. This
generalization is related to Hochschild cohomology and a conjecture of
Kontsevich. Some of this is joint work in progress with Sullivan.

This talk will be accessible to graduate students.