Lagrangian cobordism
Event details
| Date | 31.03.2014 |
| Hour | 15:15 › 17:00 |
| Speaker | Paul Biran, ETH Zürich |
| Location | |
| Category | Conferences - Seminars |
Lagrangian cobordism was introduced in the 1970's by
Arnold and further studied by Eliashberg, Audin, Chekanov and
others. On the one hand it can be viewed as a generalization of
exact isotopies of Lagrangian submanifolds, but it also brings
together symplectic topology with cobordism theory. Recently
development show that Lagrangian cobordism give new geometric
insight on the (derived) Fukaya category - a highly non-trivial
construction closely related to mirror symmetry.
In the first part of the talk we will discuss categorical aspects
of Lagrangian cobordism, explain its relation to Floer theory and
present some applications. In the second part we will show how to
construct meaningful functors from the cobordism category to the
derived Fukaya category and go into some details of the
construction.
The talk is based on joint work with Octav Cornea.
Arnold and further studied by Eliashberg, Audin, Chekanov and
others. On the one hand it can be viewed as a generalization of
exact isotopies of Lagrangian submanifolds, but it also brings
together symplectic topology with cobordism theory. Recently
development show that Lagrangian cobordism give new geometric
insight on the (derived) Fukaya category - a highly non-trivial
construction closely related to mirror symmetry.
In the first part of the talk we will discuss categorical aspects
of Lagrangian cobordism, explain its relation to Floer theory and
present some applications. In the second part we will show how to
construct meaningful functors from the cobordism category to the
derived Fukaya category and go into some details of the
construction.
The talk is based on joint work with Octav Cornea.
Practical information
- Informed public
- Free