Geometry & Geometric Analysis Seminar
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The Geometry and Geometric Analysis (GAGA) Seminar is an opportunity for geometers, topologists, and others from TCU and other campuses to learn about new topics of mutual interest. GAGA meets most weeks during the school year. You can find notes from past talks at the GAGA Note Repository, located in a secure off-campus location.
The Fall 2026 GaGA seminar is Fridays at 1 pm in TUC 352 on TCU campus, and also the seminar will be available on Zoom. Contact Ken Richardson with any questions or issues with the link.
Friday, October 16, 1 pm
Speaker: Ken Richardson (TCU)
Title: Hopf conjecture on S^2\times S^2, part 3
Abstract: A famous conjecture of Hopf is that there does not exist a positive sectional curvature
(PSC) metric on M=S^2\times S^2. Recently, Brendle-Hung produced an AI-aided proof
of the the existence of a PSC metric on S^2\times S^2. In this this talk, I will describe
the construction of the Cheeger-Müter metric on M, which was utilized by Brendle-Hung
to produce a positive sectional curvature metric on M. If you missed the first two
talks, no problem -- this one is pretty much independent of those two.