Thursday May 9th, 2024 | |
| Time: | 1:00 PM - 2:30 PM |
| Title: | Fukaya Algebra over $\mathbb{Z}$ |
| Speaker: | Mohamad Rabah, Stony Brook University |
| Location: | Math 5-127 |
| Abstract: | |
| In their book, Fukaya-Oh-Ohta-Ono '09, constructed an $A_{∞}$-algebra structure on the singular cohomology of a Lagrangian submanifold over the Novikov ring with rational coefficients. Using the recent developments in Symplectic topology, namely Bai-Xu '22 realization of Fukaya-Ono '97 proposal on Normally Complex polynomial perturbations and Abouzaid-McLean-Smith '21 construction of Global Kuranishi charts, we show how to adapt such developments in the setting of Lagrangian Floer Theory, which leads us to an integral version of the above result. In this talk we will go over the necessary notions and background needed to state and prove our results, followed by sketch of proofs. | |