• Speaker: Guangbo Xu
• Time: 2:00-3:00
• Abstract: It is a common theme in symplectic geometry and gauge theory that by counting solutions to certain nonlinear elliptic equations one obtains invariants of manifolds. In symplectic geometry one obtains the famous Gromov-Witten invariants. As the moduli spaces are orbispaces, the counts are in general rational numbers. In a recent joint work with Shaoyun Bai, we developed an idea of Fukaya and Ono which allows us to obtain refined integer counts. As applications we define integer-valued Gromov-Witten invariants and proved an integral version of the Arnold conjecture. In this talk I will sketch the basic construction and potential further applications.