Symmetric Tensor Categories of Moderate Growth

Explore the intricacies of symmetric tensor categories of moderate growth in this 53-minute lecture presented by Kevin Coulembier from the University of Sydney School of Mathematics and Statistics. Delivered at IPAM's Symmetric Tensor Categories and Representation Theory Workshop on January 8, 2024, the talk delves into Deligne's proof regarding symmetric tensor categories of moderate growth in characteristic 0 fields and their representation as supergroups. Examine the more complex landscape of positive characteristic fields, highlighting recent breakthroughs in the field over the past decade. Gain insights into Coulembier's collaborative research with Pavel Etingof, Victor Ostrik, and Johannes Flake, shedding light on the latest developments in this area of mathematics.