| Abstract: |
The notion of the dimension of a triangulated category was implicitly introduced by Bondal and Van den Bergh, and explicitly done by Rouquier. Roughly speaking, it measures how many triangles are necessary to build the triangulated category from a single object. In the first part of my talk, I will explain how this notion have arisen in the representation theory of Cohen-Macaulay rings, using several examples. In the second part, I will speak about the dimensions of derived categories of commutative rings and their relationships with uniform annihilation of cohomology. This talk is based on joint work with Hailong Dao and Srikanth Iyengar. |
