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Thursday, August 31, 2017

**Abstract:** A famous theorem of Gromov states that a finite dimensional Hamiltonian flow cannot squeeze a ball inside a cylinder of lesser radius, despite the fact that the ball has finite volume and the cylinder has infinite volume. We will discuss an infinite-dimensional analogue of Gromov's result, in infinite volume. Specifically, we prove that the flow of the cubic NLS in two dimensions cannot squeeze a ball in $L^2$ into a cylinder of lesser radius. This is joint work with R. Killip and X. Zhang.

Thursday, September 7, 2017

Thursday, September 14, 2017

Thursday, September 21, 2017

Wednesday, October 4, 2017

Thursday, October 5, 2017

Tuesday, October 10, 2017

Wednesday, October 11, 2017

Thursday, October 12, 2017