Symplectic Orbifold Gromov-Witten Invariants

Explore symplectic orbifold Gromov-Witten invariants in this M-Seminar talk by Mark Mclean from Stony Brook University. Delve into the construction of these invariants by Chen and Ruan over two decades ago, and discover ongoing research with Alex Ritter that demonstrates how moduli spaces of pseudo-holomorphic curves mapping to symplectic orbifolds admit global Kuranishi charts. Learn about the implications of this work, including the potential for constructing other types of Gromov-Witten invariants such as K-theoretic counts. Understand the significance of the orbifold embedding theorem by Ross and Thomas in this construction. Gain insights into advanced topics in symplectic geometry and algebraic topology during this 1-hour and 12-minute lecture presented at Kansas State University on October 17, 2024.