Graduate Geometric Analysis Reading Seminar: Difference between revisions

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Revision as of 18:01, 1 October 2024

The graduate reading seminar in differential geometry / geometric analysis meets Tuesdays 4-6pm in Van Vleck B211. Students will give literature talks over the semester with participation by several faculty (Sean Paul, Alex Waldron, Ruobing Zhang, and Sigurd Angenent).

The topic for Fall 2024 is Ricci flow. We will cover the fundamentals in the fall and try to get through most of Perelman's proof of the Poincaré conjecture before the end of the year. We may also dip into the proof of Thurston's geometrization conjecture.

To join the mailing list, send an email to: math-geom-reading+subscribe@g-groups.wisc.edu.

Fall 2024 Schedule

Date Speaker Title Reference
9/10 Sigurd Angenent Introduction to the Ricci flow
9/17 Alex Waldron Rapid course in Riemannian geometry Notes
9/24 Ruocheng Yang Evolution equations under Ricci flow Topping Ch. 2, Notes
10/1 Kaiyi Huang The maximum principle Topping Ch. 3
10/8
10/15
10/22 Ruobing Zhang The compactness theorem for the Ricci flow

Past topics:

Spring '24: Heat-kernel approach to the Atiyah-Singer index theorem

Fall '23: G2 geometry

Spring '23: Yau's proof of the Calabi conjecture

Fall '22: Spin geometry and the index theorem

Spring '22: Differential-geometric approach to GIT.