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A Borel-Weil-Bott theorem for Quot schemes on the projective line
Algebraic Geometry and Number Theory| Speaker: | Shubham Sinha, ICTP |
| Related Webpage: | https://users.ictp.it/~ssinha1/ |
| Location: | 2112 MSB |
| Start time: | Wed, Jan 14 2026, 12:10PM |
Description
The cohomology groups of tautological bundles on Grassmannians are described by the celebrated Borel-Weil-Bott theorem. Quot schemes on the projective line provide a natural generalization of Grassmannians: they parametrize rank r quotients of a vector bundle V on the projective line. In this talk, I will present formulas for Euler characteristics and for the cohomology groups of tautological bundles on these Quot schemes. Additionally, I will describe how these formulas apply to the study of the quantum K-theory of Grassmannians.