AZ PhD Seminar
This is a seminar for PhD students and Postdocs in Hamburg. The plan for the summer term 2024 is:
Friday, 24 May | 3.15 pm | Geom 241 |
Abigail Watkins (Indiana University) An Introduction to Zesting Fusion Categories Abstract: The study of fusion categories is still quite young, and, as such, we currently have few classes of examples to test our intuition on. As such, many researchers in this area have been focused on creating new constructions of fusion categories. Zesting is one such construction that allows us to start with a fusion category and gain a new family of examples by ’adding a little flavor’ to their tensor products. The advantage of this construction over others is that zesting is a controlled process where one can easily determine information like the simple objects, fusion rules, and Frobenius Perron dimensions of objects in the zested categories. In this informal talk, we will aim to build up the theory of zesting and discuss a few related open problems. |
Friday, 31 May | 4.15 pm | Geom 241 |
Julius Mann (Universität Bonn) Analytic Stacks (following Clausen-Scholze) Abstract: Classically, there is a plethora of analytic-geometric theories together with even more, individual comparison results. However, geometers have struggled to express these results as morphisms and properties of these morphisms in some category. The theory of analytic stacks by Clausen-Scholze offers a solution. We obtain a category C of very general geometric objects and for a large class of maps E a six functor formalism D on (C,E) encoding all relevant linear algebra over these spaces. After introducing the necessary formalism, we will discuss examples and applications from geometry, representation theory and number theory. |