Expository Lecture (July 7-11)
Venue
TBA
Schedule
TBA
Titles & Abstracts
TBA
Conference (July 14-18)
Venue
Conference Room on 3rd Floor of Material Research Building (Section B&C), East Campus of USTC
Schedule
TBA
Titles & Abstracts
*Simon Brendle (Columbia University in the City of New York)
Title: Systolic inequalities and the Horowitz-Myers conjecture
Abstract: Let $n$ be an integer with $3 \leq n \leq 7$, and let $g$ be a Riemannian metric on $B^2 \times T^{n-2}$ with scalar curvature at least $-n(n-1)$. We establish an inequality relating the systole of the boundary to the infimum of the mean curvature on the boundary. As a consequence, we obtain a new positive energy theorem where equality holds for the Horowitz-Myers metrics. This is joint work with Pei-Ken Hung.
Shouhei Honda (The University of Tokyo)
Title: From almost smooth spaces to RCD spaces
Abstract: We provide various characterizations for a given almost smooth space to be an RCD space, in terms of a local volume doubling and a local Poincaré inequality. Applications include a characterization of Einstein 4-orbifolds. This talks is based on a joint work with Song Sun (Zhejiang University).
Yang Li (University of Cambridge)
Title: Large mass of limit G₂ & Calabi-Yau monopoles
Abstract: TBA