Gromov-Hausdorff Convergence of Filtered A Infinity Categories

Explore a lecture on Gromov-Hausdorff convergence of filtered A-infinity categories delivered by Kenji Fukaya from the Simons Center for Geometry and Physics. Delve into the intricacies of Floer homology over Novikov ring and its non-invariance under Hamiltonian isotopy. Examine recent developments in this field and their significance in Hamiltonian dynamics applications. Discover how the multiplicative structure is incorporated into this framework and investigate the potential connections to homological Mirror symmetry when working over Novikov ring, particularly in the context of formal deformation theory. This 70-minute talk provides an in-depth look at advanced topics in mathematical physics and geometry.