Speaker: Carson Connard

Abstract: I will first talk about an adaptation of Morse homology for orbifolds; second, the construction of Chen-Ruan cohomology and its product structure; third, I will discuss some conjectures about how the method of cup product deformation furnished by Gromov-Witten invariants could be applied to an object analogous to the Lagrangian in the orbifold world. In particular, I will discuss how a deformed product for the cohomology of the novel dihedral twisted sector of Chen, Ono, and Wang (2023) could be motivated by the construction of the Chen-Ruan product via Gromov-Witten theory.