RTG Student SeminarFriday September 13th, 2019 Time: 11:00 AM - 12:00 PM Title: Product and higher operations in Lagrangian Floer theory Speaker: Yi Wang, Stony Brook University Location: Math Tower 5-127 Abstract: Continuing with Yuhan's talk, I will define the triangle product on the Floer complex, which descends to an associative product structure on cohomology. At chain level, however, the product is only associative up to homotopy given by higher-order operations. I will define all these operations by counting certain holomorphic disks whose boundaries connect Lagrangian intersection points, and explain how the limit configurations imply "A-infinity" relations among the operations. Then we are ready to define the Fukaya category, modulo technical issues.