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.