talks & conferences
Overview of conferences, seminars, and organized events.
Conferences
2026
Tensor categories in representation theory& vice versa Uppsala university, Uppsala, Sweden August 24–27, 2026
Future directions in tensor categories hausdorff center for mathematics, Universtität Bonn, Germany August 17–21, 2026
International Workshop on quantum groups, categorification and related topics Tianyuan Mathematical Research Center, Kunming, Yunnan, China June 07–12, 2026
Title: TBA
Mini-conference: Categorification University of East Anglia, Norwich, UK January 12–13, 2026
Title: Idempotents and dimensions in the asymptotic Hecke category
The diagrammatic Hecke category, introduced by Elias–Williamson, provides a categorical framework for studying Soergel bimodules through diagrams. We present results from recent joint work with Ben Elias and Dani Tubbenhauer. Our main contributions includes an algorithmic construction of idempotents, as well as the computations of the dimensions of objects inside the asymptotic Hecke category. We show these with many diagrammatic examples.
| Event | Slides |
2025
Annual Meeting 2025 of the SFB TRR 195 University of Tübingen, Germany September 22–25, 2025
Computing in the asymptotic Hecke category
The diagrammatic Hecke category, introduced by Elias–Williamson, provides a categorical framework for studying Soergel bimodules through diagrams. We present results from recent joint work with Ben Elias and Dani Tubbenhauer on idempotents, traces, and dimensions in Hecke categories. Our main contributions include an algorithmic construction of clasp idempotents, which we will present here, as well as a variety of examples in many different types of Coxeter groups. Furthermore, we construct the asymptotic Hecke category, a categorification of Lusztig’s asymptotic Hecke algebra. We present methods to compute categorical dimensions of objects in this monoidal category.
Seminars
2025
Joint Block Seminar on Category Theory University of Zurich, Switzerland December 2, 2025
Computing Idempotents and Dimensions in the Asymptotic Hecke Category
The diagrammatic Hecke category, introduced by Elias and Williamson, provides a categorical framework for studying Soergel bimodules using diagrams. We present results from recent joint work with Ben Elias and Dani Tubbenhauer on idempotents, traces, and dimensions in Hecke categories.
We begin by motivating general string-diagram notation for monoidal categories. We then define the diagrammatic Hecke category of Soergel bimodules and illustrate it with numerous examples. The main contribution of the paper is an algorithmic construction of clasp idempotents. Using these new idempotents, we define the asymptotic Hecke category and compute the dimensions of objects within it.
Organized Events
2023
Block Seminar, SFB 195 Graduate Programme Trippstadt, Germany September 18–22, 2023
Block Seminar: An Introduction to Categorification
Starting from the very definition of a category, we will look at the idea of the categorification of an algebraic object. This turned out to be a powerful method in a variety of mathematical contexts in the last decades. One classical example will be Khovanov Homology, a categorification — and more powerful version — of the Jones-polynomial for links. To this end we introduce specific topics of homological algebra, links, diagrammatic algebras and put it all together into a connecting framework.