School of Mathematics Seminars and Lectures

Strong symplectic foliations

by Prof. Sushmita Venugopalan (The Institute of Mathematical Sciences, Chennai)

Tuesday, January 15, 2019 from to (Asia/Kolkata)
at AG-77
Description
Abstract:
Novikov's theorem says that a codimension one taut foliation on a three-manifold does not have any Reeb components. Thus the class of taut foliations on three manifolds has a certain rigidity. For higher dimensional manifolds, the existence of a strong symplectic form has been proposed as an analog for tautness in order to achieve similar rigidity. It was conjectured that strong symplectic foliations would satisfy an analogue of Novikov's theorem. However, this turned out to be false, and in this talk, I present a counter example.

(The talk does not assume any background in foliations.)