**Special Lecture Series by**

**Professor Paul Biran (ETH Zurich)**

**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.

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.

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.

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