I’ll discuss a construction in homological mirror symmetry and birational geometry which exhibits the group of volume-preserving birational transformations of P^2 in two ways: as the automorphism group of a certain infinite-type scheme, and as a group of symplectomorphisms of an infinite-type Weinstein manifold. I will then discuss how this allows us to use constructions in complex dynamics to understand the symplectic mapping class group of finite-type Weinstein 4-manifolds.  This is joint work with Ailsa Keating. 

 

Café culturel à 13h05 par Patrick Massot