March 5, 2007
Yaron Ostrover (MIT): Symplectic Capacities and Volume Radius
Abstract:
In this talk we discuss a conjecture of Viterbo relating the
symplectic capacity of a convex body and its volume. The conjecture
states that among all the 2n-dimensional convex bodies with a given
volume the Euclidean ball has maximal symplectic capacity. In a joint
work with Shiri Artstein-Avidan and Vitali Milman, we bring together
tools and ideology from Asymptotic Geometric Analysis and verify the above conjecture up to a universal constant.
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