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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. Weihong Xu
California Institute of Technology
Quantum K-theory of IG(2,2n)
Abstract:
We give an explicit geometric computation of the quantum K rings of symplectic Grassmannians of lines, which are deformations of their Grothendieck rings of vector bundles and refinements of their quantum cohomology rings. We prove that their Schubert structure constants have signs that alternate with codimension (just like in the Grothendieck ring) and vanish for degrees at least 3. We also give closed formulas that characterize the multiplicative structure of these rings. This is based on joint work with V. Benedetti and N. Perrin.
Host: Dragos Oprea
April 18, 2025
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
