# Noncrossing partitions and thick subcategories

**Date**: Tuesday 23 January 2018, 15:15 – 16:15**Location**: Hillary Place SR (G.18)**Type**: Algebra, Seminars, Pure Mathematics**Cost**: Free

#### Sira Gratz, University of Glasgow. Part of the pure mathematics algebra seminar series.

Ingalls and Thomas have shown that the lattice of non-crossing partitions of a regular polygon with $n+1$ vertices is isomorphic to the lattice of thick subcategories in the bounded derived category of representations of a Dynkin quiver of type A with n vertices. In joint work with Greg Stevenson we provide an infinite version of this result by showing that the lattice of non-crossing partitions of the infinity-gon with a point at infinity is isomorphic to the lattice of thick subcategories in the bounded derived category of graded modules over the dual numbers.