This semester we will be working on ``Calculus of variations on manifolds and geometric flows”.

We will follow at least two books:

  1. Mantegazza: Lecture notes on mean curvature flows

  2. Topping: Lectures on Ricci flow

Books that could be useful for geometry:

  1. Lee’s Introduction to smooth manifolds

  2. Lee’s Introduction to Riemannian manifolds

  3. Jost’s Riemannian geometry and geometric analysis

Email for the working groups is: siam-wg@lists.andrew.cmu.edu

Schedule (so far)

Name Chapter(s) Date Topic
    01/18 Organizational meeting
Sam Cohn   01/25 Review of Riemannian Geometry
Antoine Remond-Tiedrez   02/01 Review of Riemannian Geometry (cont.)
Antoine Remond-Tiedrez   02/08 Review of Riemannian Geometry (cont.)
Son Van   02/15 Mean curvature flows
Son Van   02/22 Mean curvature flows (cont.)
Adrian Hagerty   03/01 Comparison principle
Adrian Hagerty   03/08 Evolution of geometric quantities
Won Eui Hong   03/22  
Giovanni Gravina   03/29  

Participants: Adrian, Antoine, Sam, Kevin, Wony, Son, David, Likhit, Yousuf, Giovanni, Thomas, Joshua