Automorphic Forms and Applications: Ivan Yakovlev (NRU HSE)

The Seminar Automorphic Forms and Applications will take place on Jan 22 at 18:00 in the room 306

Ivan Yakovlev (NRU HSE) will give a talk «Fukaya category of rational blowdawn»

Abstract: The rational blowdawn of M → M_(p) is the rearrangement of a smooth 4-dimensional manifold that preserves the symplectic structure. By results of Fintushel and Stern we know when the sequence of blow-ups, rearrangements along links, and rational contractions leads to a manifold homeomorphic but not diffeomorphic to the given one. By this construction many exotic symplectic manifolds can be obtained, and the geometry of which is not well-studied. In this work we compute the Fukaya category M_(p) by the Fukaya category M. We prove an analogous result for symplectic homologies using the results of Ganatra.