QM Research Seminar: Dense generation for Fukaya category over Novikov ring

Speaker: Bingyu Zhang (​University of Southern Denmark)

Abstract:
Generation is a key concept for understanding the structure of Fukaya category over Novikov field. However, over Novikov ring, this concept loses effectiveness: Over Novikov ring, two objects are equivalent in Fukaya category if and only if they are geometrically the same. To resolve the issue, we shall reformulate the notion of generation in terms of the density of certain objects in terms of the interleaving distance. Then we explain the density of the cotangent fiber in the Fukaya category using the sheaf quantization method. This is a joint work with Stephane Guillermou and Claude Viterbo.