## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Novikov-symplectic cohomology and exact Lagrangian embeddings

**Speaker:** Alexander Ritter

**Speaker Info:** MIT

**Brief Description:**

**Special Note**:

**Abstract:**

We are interested in finding topological obstructions to the existence
of exact Lagrangian submanifolds L inside a cotangent bundle T^*N.
We assume N is simply connected, but we make no assumptions on the Maslov class of L. We prove that H^2(N) injects into H^2(L) and that the image of \pi_2(L) in \pi_2(N) has finite index. A more complicated statement holds in the non-simply connected case. Our approach builds on Viterbo's work: by using symplectic cohomology we construct a transfer map on the Novikov homologies of the free loop spaces of
N and L. The above application is then a consequence of the vanishing of the Novikov homology of the free loopspace with respect to non-zero 1-forms.

**Date:** Thursday, March 13, 2008

**Time:** 4:00pm

**Where:** Lunt 107

**Contact Person:** Prof. Gabriel Kerr

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

**Contact Phone:** 773-936-6405

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