Stable 2-systole bounds in positive scalar curvature

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Douglas Stryker, ETH Zurich
Fine Hall 314

It is expected that positive scalar curvature enforces smallness in at least two dimensions. In this spirit, I will present a bound for the stable 2-systole of closed manifolds under necessary topological assumptions in positive scalar curvature. The proof uses the index theory for twisted spinor bundles due to Gromov and Lawson.