# Transfinite mutations

**Date**: Tuesday 14 February 2017, 14:00 – 15:00**Location**: Mathematics Level 8, MALL 1, School of Mathematics**Type**: Pure Mathematics seminars, Algebra seminars, Seminar series**Cost**: Free

#### Karin Baur, University of Graz. Part of the algebra seminar series.

We introduce mutation along infinite admissible sequences for surfaces with infinitely many marked points on the boundary. This allows us to define mutation equivalence classes for the (completed) infinity-gon. For the completed infinity-gon, we then extending this notion to transfinite mutations and show that under this notion, the exchange graph is connected.

This is joint work with S. Gratz (Oxford).

*After each talk at 4:15pm there will be tea/coffee in the Common Room at level 9 in Maths building. The current seminar organiser is Eleonore Faber. *

**Karin Baur**, *University of Graz*