07.10.26 - Laura Flower (University of Warwick)
Title: The maximum principle (my favourite theorem)
Abstract:
The maximum principle is my favourite theorem, because for something so intuitively obvious, it turns out to be surprisingly useful! In this talk, we’ll take a look at the maximum principle in its simplest formulation, and showcase both its obviousness and its utility. Then we’ll discuss why the maximum principle is relevant to current research, and see one of its applications to the study of Ricci flow.
30.09.26 - Michał Szwej (University of Bristol)
Title: Bijections for hook lengths and contents
Abstract:
Partitions are one of the central objects studied in algebraic combinatorics — drawn as rows of boxes, they turn algebraic questions into concrete counting problems. For example, hook lengths and contents are two basic measurements for those boxes which also appear in formulas for dimensions of representations.
In this talk, we consider two ways of filling a partition and its rectangular complement with hook lengths and contents. Surprisingly, both ways produce the same multiset of entries. I will present an explicit bijection explaining this equality and discuss its algebraic meaning.
This is joint work with Seamus Albion Ferlinc.