**LMS-CMI Research School**

University
of Leicester

19-23 June 2017

**Organisers:** Karin Baur (U Graz), Sibylle
Schroll (Leicester) and Nick Woodhouse (CMI)

The focus
is on recent advances that have emerged in representation theory through
cluster theory: *n*-representation theory, integrable systems and friezes, and
silting and infinite dimensional representations. These areas of mathematics
are enriched by their interactions with other areas of mathematics such as
category theory, dynamical systems and mathematical physics.

__Lecture
courses:__

*n-representation theory - *Peter Jorgensen (Newcastle)* **Integrable systems and friezes - *Sophie Morier-Genoud (Paris) *Infinite dimensional representations - *Lidia Angeleri-Hügel (Verona)* *

These lecture courses will be supplemented by
tutorial sessions.

__Guest lectures: __

**Martin Herschend
**(Uppsala): *Higher preprojective algebras*

**Pierre-Guy Plamondon** (Orsay): *Group actions on quivers from triangulated surfaces with punctures*

**Mike Prest** (Manchester): *Definable categories*

Research school guide

*The Research School is organised by a partnership of the London and Mathematical Society (LMS) and the Clay Mathematics Institute (CMI). Additional funding is provided by the Heilbronn Institute for Mathematical Research (HIMR).*