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Ronno Das: Hypersurfaces and inclusion-exclusion

Time: Wed 2022-10-05 13.15

Location: KTH, 3418

Participating: Ronno Das, Stockholm University

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Abstract: A generic homogeneous polynomial defines a smooth hypersurface in projective space. Generalizing results of Tommasi and others, we establish homological stability for the space of such smooth polynomials, and more generally smooth sections of line bundles on smooth projective varieties, with or without marked points on the hypersurface. On the way we develop a categorification of the principle of inclusion-exclusion, building on work of Vassiliev. Parts of the talk will be based on joint work with Sean Howe and with Alexis Aumonier.

Belongs to: Stockholm Mathematics Centre
Last changed: Sep 29, 2022