Special Lecture Series – Prof. Paul Biran

Special Lecture Series by
Professor Paul Biran (ETH Zurich)

paul-biran

 

Lecture I: Monday, November 6, 2017 at 15:30
Measurements in Lagrangian Topology
We will survey recent developments in the symplectic
topology that lead to various notions of distance on the category of
Lagrangian submanifolds of a symplectic manifold. We will explain both
the algebraic as well as geometric sides of the story and outline some
applications.
 Lecture II: Tuesday, November 7, 2017 at 15:30
The filtered Fukaya Category
The Fukaya category of a symplectic manifold plays a central
role in symplectic topology and mirror symmetry. We will first explain
what is the Fukaya category and its role in symplectic topology. We
will then explain how to enrich it with action-filtrations and how to
extract numerical invariants from it. On the way we will also go
through some filtered homological algebra that might be useful in a
more general context. No prior knowledge of the Fukaya category will
be assumed. Based on joint works with Octav Cornea and Egor Shelukhin.
Lecture III: Thursday, November 9, 2017 at 15:30
Lagrangian cobordisms and generation measurements
In this talk we will explain how Lagrangian cobordism gives
rise to Hofer-like (pseudo) metrics on the collection of Lagrangians
in a given symplectic manifold. We will explain how this metric is
related to the filtered Fukaya category. If time permits we will also
outline how this approach can be used to study older question about
the geometry of Lagrangian submanifolds. Based on joint works with
Octav Cornea and Egor Shelukhin.

All lectures will take place at Auditorium 232, Amado Mathematics Building, Technion

Light refreshments will be given before the talks in the lounge of the Faculty of Mathematics on the 8th floor