1. Course Background & Purposes

Background: Riemannian Geometry, some knowledge of PDE

Purpose: To introduce advanced undergraduates and early graduate students to current research in geometric flows, with a focus on mean curvature flow and inverse mean curvature flow in Euclidean space.

2. Course Outline & Descriptions

  Lectures    1. Preliminaries on Parabolic Partial Differential Equations

                    2. Geometry of Hypersurfaces and Examples of Extrinsic Flows

                    3. Singularities of Mean Curvature Flow

                    4. Long-time Existence in Inverse Mean Curvature Flow

                    5. Applications

**There will be no class on Feb. 28 because of the 228 holiday.

3. Registration：https://forms.gle/gtvrVFmsuitGiJLBA

4. Join the Course Online：

02/21

02/28 (no class)

03/07

03/14

03/21

03/28