January 24, 2017
3:00PM - 4:00PM
Math Tower 154
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2017-01-24 16:00:00
2017-01-24 17:00:00
Algebraic Geometry Seminar - Sjuvon Chung
Title: Euler characteristics of cominuscule quantum K-theorySpeaker: Sjuvon Chung (Rutgers University)Abstract: For a flag variety X, its K-theoretic Gromov-Witten invariants encode the arithmetic genera of families of rational curves meeting Schubert varieties in X. These invariants can be assembled into the quantum K-theory ring of X, analogous to quantum cohomology. When X is cominuscule (eg. Grassmannians) the quantum K-theory ring's structure constants satisfy a certain relation. We will discuss this relation and its connection to sheaf Euler characteristics of (non-quantum) K-theory of X. This is joint work with A. S. Buch.Seminar URL: https://research.math.osu.edu/agseminar/
Math Tower 154
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America/New_York
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2017-01-24 15:00:00
2017-01-24 16:00:00
Algebraic Geometry Seminar - Sjuvon Chung
Title: Euler characteristics of cominuscule quantum K-theorySpeaker: Sjuvon Chung (Rutgers University)Abstract: For a flag variety X, its K-theoretic Gromov-Witten invariants encode the arithmetic genera of families of rational curves meeting Schubert varieties in X. These invariants can be assembled into the quantum K-theory ring of X, analogous to quantum cohomology. When X is cominuscule (eg. Grassmannians) the quantum K-theory ring's structure constants satisfy a certain relation. We will discuss this relation and its connection to sheaf Euler characteristics of (non-quantum) K-theory of X. This is joint work with A. S. Buch.Seminar URL: https://research.math.osu.edu/agseminar/
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Euler characteristics of cominuscule quantum K-theory
Speaker: Sjuvon Chung (Rutgers University)
Abstract: For a flag variety X, its K-theoretic Gromov-Witten invariants encode the arithmetic genera of families of rational curves meeting Schubert varieties in X. These invariants can be assembled into the quantum K-theory ring of X, analogous to quantum cohomology. When X is cominuscule (eg. Grassmannians) the quantum K-theory ring's structure constants satisfy a certain relation. We will discuss this relation and its connection to sheaf Euler characteristics of (non-quantum) K-theory of X. This is joint work with A. S. Buch.
Seminar URL: https://research.math.osu.edu/agseminar/
