Calendar
- 02November 2, 2018
Monodromy of Kodaira fibrations
Science Center 5071 Oxford Street, Cambridge, MA 02138 USAAbstract:
A long-standing question in studying the topology of complex algebraic varieties is the question of what groups can occur as the fundamental group of a smooth projective variety. One approximation of this question in the case of fibered varieties is to ask what groups can occur as the monodromy group of such a fibration. We use Hodge theory to investigate this question in the case of fibered algebraic surfaces, called Kodaira fibrations, whose fibers are all smooth and draw connections with questions about Shimura varieties and the moduli space of smooth algebraic curves.
- 09November 9, 2018
A formalism for Floer theory with coefficients
Science Center 5071 Oxford Street, Cambridge, MA 02138 USAAbstract:
I will discuss a formalism for defining (Lagrangian) Floer homology with coefficients which is a little more abstract than has been used so far in the literature, and is designed to generalise a recent construction of Rezchikov, in the exact setting, to the case of Lagrangians which may bound holomorphic discs. Various parts of this talk will report on joint work with Pardon, and with Blumberg and Kragh.
- 30November 30, 2018
Structural results in wrapped Floer theory
Science Center 5071 Oxford Street, Cambridge, MA 02138 USAAbstract:
I will discuss results relating different partially wrapped Fukaya categories. These include a Kunneth formula, a ‘stop removal’ result relating partially wrapped Fukaya categories relative to different stops, and a gluing formula for wrapped Fukaya categories. The techniques also lead to generation results for Weinstein manifolds and for Lefschetz fibrations. The methods are mainly geometric, and the key underlying Floer theoretic fact is an exact triangle in the Fukaya category associated to Lagrangian surgery along a short Reeb chord at infinity. This is joint work with Sheel Ganatra and Vivek Shende.