Course Outline

Lectures: Thursdays 12:15-13:45 in H3 (Geom).

Tutorials: Every alternate Thursdays starting 17th April 14:15-15:45 in Sed 19, 205 (Note the different classroom).

Announcements

• The next problem session is on June 12th 2025.

For some topics (but not all), I'll upload hand-written lecture notes.

Ricci flow as heat equation

Variation formulas along the Ricci flow

Scalar maximum principles

Derivative estimates

Long time existence

Structure of evolution of Riemann curvature tensor

Maximum principle for tensors

Preserved curvarure conditions

Problem sets will be posted here biweekly and will be discussed in the problem sessions. It is highly recommended that you try to attempt all the problems. This will be beneficial to your understanding of the course material.

Problem Set 1 (due on 08.05.2025)

Problem Set 2 (due on 22.05.2025)

Problem Set 3 (due on 12.06.2025)

Problem Set 4 (due on 26.06.2025)