1. Introduction & Purposes

The main objective of this summer school is to provide an introduction to modern research topics in differential geometry for students with prior knowledge of manifolds and Riemannian geometry. The curriculum will specifically address minimal submanifolds, mean curvature flow, Ricci flow, Hessian-type equations, and Ricci limiting spaces. The intended outcome is to broaden the students' perspectives and familiarize them with current research interests in the field.

2. Outline & Descriptions

The summer school will take place over four days, from July 14 to July 17, 2025, and will feature a total of 14 one-hour lectures and two hours of discussion sessions. The program will cover a range of topics, including minimal submanifolds, mean curvature flow, Ricci flow, optimal transport, and extremal Kaehler metrics.

l   Chen-Kuan Lee (Notre Dame) Plateau's problem with a glimpse of geometric measure theory

l   Chao-Ming Lin (Ohio State/NTU) extremal Kähler metrics

l   Wei-Bo Su (NCTS) Lagrangian mean curvature flow 

l   Chung-Jun Tsai (NTU) Minimal surface system and mean curvature flow 

l   Mao-Pei Tsui (NTU) Ricci flow and mean curvature flow 

l   Kai-Hsiang Wang (Northwestern) Optimal transport and isoperimetric problems

3. Prerequisites

Smooth manifolds and Riemannian geometry

4. Registration

https://forms.gle/dPxggfHfQJNbKPKn7