6 March 2025
3:30pm CET
SIMON BRENDLE
(Columbia University, USA)
Title: Systolic inequalities and the Horowitz-Myers conjecture
Abstract: I will discuss joint work with Pei-Ken Hung on the
Horowitz-Myers conjecture in dimension at most 7. Our approach relies on a new geometric inequality. For a Riemannian metric on B2xTn-2 with scalar curvature at least -n(n-1), this inequality
relates the systole of the boundary to the mean curvature of the boundary.