Junior Algebra Seminar (Algebraic Topology and Group Theory)
The Junior Algebra Seminar is a new seminar at Warwick for young researchers in algebra, with a particular focus on algebraic topology, group theory, and associated areas.
In Term 2 the seminar will be held on Mondays 2pm-3pm in B3.02, Zeeman Building, except in weeks 2 and 3. In general, odd weeks will focus on group theory and related areas, whilst even weeks will focus on algebraic topology and related areas.
The organisers of the seminar are Nathan Lockwood and Dan Roebuck (algebraic topology), and Michael Cavaliere (group theory). Please get in touch with the relevant organisers if you would like to give a talk or suggest a speaker!
This seminar replaces the previous AGATA seminar, which ran in term 3 of the 2022/23 academic year. That seminar focused on algebraic geometry alongside algebraic topology and general algebra; the junior seminar at Warwick focusing on algebraic geometry now is JAWS.
Term 2
Patricia Medina Capilla (Warwick) - Crown-based powers and their applications
Initially discovered by Gaschutz in the 1950s, before later being extended by Dalla Volta and Lucchini in the 1990s, the theory of crowns in finite groups has a long and rich history, with numerous applications. Central to this theory is the observation that establishing generation results for a particular class of groups, known as crown-based powers, is often sufficient to derive corresponding results for all finite groups. In this talk, we will explore how this framework can be applied to a range of generation problems, highlighting in particular how the structure of a group’s chief factors determines its generation behaviour.