## Special Seminar: A Strengthened Gromov-Bishop inequality

Seminar | June 12 | 2:10-3 p.m. | 939 Evans Hall

Michael Freedman, Microsoft and UCSB

Department of Mathematics

I’ll discuss a spin-off from joint work with Stanford physicists: Lenny Susskind and Adam Brown. We find an upper bound on the volume of balls in a Riemannian manifold $X$ somewhat stronger (i.e. smaller) than that obtained by comparing to the hyperbolic space of equal dimension and Ricci quadratic from agreeing with the minimum value achieved on $X$. The new idea is a method, “coefficient shuffling”, for studying correlated families of Jacobi equations.

events@math.berkeley.edu