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.