Title of Seminar: Algebraic Geometry Preprint Seminar
Title of Talk: Combing a hedgehog over a field
Speaker: Anand Sawant, TIFR, Mumbai
Date: February 13, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The title refers to the eponymous preprint https://arxiv.org/abs/2311.07486 by A. Anayevskiy and M. Levine, which investigates the question of the existence of a non-vanishing section of the tangent bundle on a smooth affine quadric hypersurface over a perfect field of characteristic different from 2. I will outline the proofs of the main results in the above preprint. The main idea is to employ appropriate quadratic enrichments of the main ingredients in the classical proof of the hedgehog (or the hairy ball) theorem for real spheres.
Title of Talk: Combing a hedgehog over a field
Speaker: Anand Sawant, TIFR, Mumbai
Date: February 13, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The title refers to the eponymous preprint https://arxiv.org/abs/2311.07486 by A. Anayevskiy and M. Levine, which investigates the question of the existence of a non-vanishing section of the tangent bundle on a smooth affine quadric hypersurface over a perfect field of characteristic different from 2. I will outline the proofs of the main results in the above preprint. The main idea is to employ appropriate quadratic enrichments of the main ingredients in the classical proof of the hedgehog (or the hairy ball) theorem for real spheres.