Speaker: |
Akishi Ikeda (Kavli IPMU) |
Title: |
Mass growth of objects and categorical entropy |
Date (JST): |
Thu, Mar 16, 2017, 15:30 - 17:00 |
Place: |
Seminar Room A |
Abstract: |
For a endofunctor on a triangulated category, Dimitrov-Haiden-Katzarkov-Kontsevich defined the entropy of it. In this talk, we introduce the mass growth of objects in the triangulated category under the iterated mapping of the endofunctor by using a given Bridgeland stability condition and study the relationship between the entropy and the mass growth. We also show that they coincide under a certain condition. |