September 5, 2017
3:00PM - 4:00PM
Math Tower 154
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2017-09-05 15:00:00
2017-09-05 16:00:00
Algebraic Geometry Seminar - Hsian-Hua Tseng
Title: On the quantum K-rings of flag varieties of type ASpeaker: Hsian-Hua Tseng (Ohio State University)Abstract: The quantum $K$-ring of a smooth projective variety $X$, introduced by Givental and YP Lee, is a deformation of the Grothendieck ring of coherent sheaves on $X$ defined using holomorphic Euler characteristics on moduli spaces of stable maps to $X$ (these are $K$-theoretic version of Gromov-Witten invariants). In this talk we discuss some properties of the quantum $K$-rings of $X=Fl_{r+1}$, the variety of complete flags in $C^{r+1}$, including:a presentation of the quantum $K$-ring;finiteness of quantum product;canonical polynomial representatives of Schubert classes.This is based on joint work in progress with David Anderson and Linda Chen.Seminar URL: https://research.math.osu.edu/agseminar/
Math Tower 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2017-09-05 15:00:00
2017-09-05 16:00:00
Algebraic Geometry Seminar - Hsian-Hua Tseng
Title: On the quantum K-rings of flag varieties of type ASpeaker: Hsian-Hua Tseng (Ohio State University)Abstract: The quantum $K$-ring of a smooth projective variety $X$, introduced by Givental and YP Lee, is a deformation of the Grothendieck ring of coherent sheaves on $X$ defined using holomorphic Euler characteristics on moduli spaces of stable maps to $X$ (these are $K$-theoretic version of Gromov-Witten invariants). In this talk we discuss some properties of the quantum $K$-rings of $X=Fl_{r+1}$, the variety of complete flags in $C^{r+1}$, including:a presentation of the quantum $K$-ring;finiteness of quantum product;canonical polynomial representatives of Schubert classes.This is based on joint work in progress with David Anderson and Linda Chen.Seminar URL: https://research.math.osu.edu/agseminar/
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: On the quantum K-rings of flag varieties of type A
Speaker: Hsian-Hua Tseng (Ohio State University)
Abstract: The quantum $K$-ring of a smooth projective variety $X$, introduced by Givental and YP Lee, is a deformation of the Grothendieck ring of coherent sheaves on $X$ defined using holomorphic Euler characteristics on moduli spaces of stable maps to $X$ (these are $K$-theoretic version of Gromov-Witten invariants). In this talk we discuss some properties of the quantum $K$-rings of $X=Fl_{r+1}$, the variety of complete flags in $C^{r+1}$, including:
- a presentation of the quantum $K$-ring;
- finiteness of quantum product;
- canonical polynomial representatives of Schubert classes.
This is based on joint work in progress with David Anderson and Linda Chen.
Seminar URL: https://research.math.osu.edu/agseminar/
