Monday, December 13, 16:00, 8.122 (Kolloquium)
Steffen Oppermann (NTNU Trondheim), Cyclic polytopes and higher dimensional analogues of cluster categories.

Abstract:
The simplest cluster algebras, those of type A, can be understood both through a simple combinatorial model in terms of triangulations of a polygon, and also via the now-classical cluster category of Buan-Marsh-Reineke-Reiten-Todorov. I will illustrate both approaches, and indicate how they are interconnected. Then I will report on work with H. Thomas, in which we study higher dimensional analogs. We will see that various aspects of the classical setup generalize to this higher dimensional one.