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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 208: Seminar in Algebraic Geometry
Dr. Shubham Sinha
ICTP
A Borel-Weil-Bott theorem for Quot schemes on the projective line
Abstract:
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.
Host: Dragos Oprea
January 12, 2026
4:00 PM
APM 6402
Research Areas
Algebraic Geometry****************************
