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Geometry & Topology Seminar

Title: The two-systole of stretched positive scalar curvature metric on S^2xS^2
Speaker: Thomas Richard (Université Paris-Est Créteil, France)
Date: 11 March 2020
Time: 4:00 pm
Venue: LH-1, Mathematics Department

Let $(M,g)$ be a Riemannian manifold and ‘$c$’ be some homology class of $M$. The systole of $c$ is the minimum of the $k$-volume over all possible representatives of $c$. We will use combine recent works of Gromov and Zhu to show an upper bound for the systole of $S^2 \times \{*\}$ under the assumption that $S^2 \times \{*\}$ contains two representatives which are far enough from each other.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 23 Feb 2024