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