Back to Algebraic Geometry Seminar: Fall 2024
Algebraic Geometry Seminar
Date: Tuesday, Sep 3, 2024
Time: 3:30PM - 4:30PM
Location: LCB 222
Y.P. Lee
Academia Sinica
Title |
Quantum K-theory |
Abstract |
A lot of moduli spaces have the property that they are locally cut out by zeros of a section of a vector bundle over smooth spaces. These moduli spaces could be highly singular, but possess certain properties called quasi-smoothness. Using this, one can define on the moduli “virtual structure sheaf”, which is deformation-invariant. The moduli of stable maps and quasimaps (as well as many other curve counting moduli) satisfy this property, and can be used to define quantum K-theory (or Gromov-Witten theory, Donaldson-Thomas theory etc.). In this talk I will talk about results on moduli of stable maps to a point and to Calabi-Yau threefolds. |
Algebraic Geometry