**Ben Webster** (Northeastern University, Boston), laureate of a **Junior Chair** in 2013, is giving a 20 hours course entitled * Higher representation theory in algebra and geometry*.

### Abstract

*Categorical Lie algebra actions have shown themselves to be an important tool in recent years. They played a key role in representation theory of symmetric groups, in constructions of homological knot invariants and have shed new light on the theory of Cherednik algebras and the theory of quiver varieties. The course will give an overview of these actions, including definitions, examples and applications, which incorporate these different perspectives to the greatest degree possible, touching on algebra, geometry and topology.*

### When and where

The lectures will take place at the Institut Henri Poincaré (11 rue Pierre et Marie Curie, Paris 5e).

Thursday 30^{th} January: from 2 to 4 p.m., room 314

Thursday 6^{th} February: from 2 to 4 p.m., room 201

Thursday 13^{th} February: from 2 to 4 p.m., Amphithéâtre Hermite

Thursday 20^{th} February: from 2 to 4 p.m., room 201

Thursday 27^{th} February: from 2 to 4 p.m., room201

Thursday 6^{th} March: from 2 to 4 p.m., room 201

Thursday 13^{th} March: from 2 to 4 p.m., room 201

Thursday 20^{th} March: from 2 to 4 p.m., room 201

Thursday 27 ^{th} March: from 2 to 4 p.m., room 314

### Videos

Lecture 1

Higher representation theory in algebra and geometry - Ben Webster - Lecture 1

**Click here to download the slides of this lecture.**

Lecture 2

Higher representation theory in algebra and geometry - Ben Webster - Lecture 2

**Click here to download the slides of this lecture.**

Lecture 3

Higher representation theory in algebra and geometry - Ben Webster - Lecture 3

**Click here to download the slides of this lecture.**

Lecture 4

Higher representation theory in algebra and geometry - Ben Webster - Lecture 4

**Click here to download the slides of this lecture.**

Lecture 5

Higher representation theory in algebra and geometry - Ben Webster - Lecture 5

**Click here to download the slides of this lecture.**

Lecture 6

Higher representation theory in algebra and geometry - Ben Webster - Lecture 6

**Click here to download the slides of this lecture.**

Lecture 7

Higher representation theory in algebra and geometry - Ben Webster - Lecture 7

**Click here to download the slides of this lecture.**

Lecture 8

Higher representation theory in algebra and geometry - Ben Webster - Lecture 8