Algebra seminar - Ilaria Colazzo
| Dates: | 18 February 2025 |
|---|
| Times: | 14:00 - 15:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
| Who is it for: | University staff, External researchers, Current University students |
|---|
| Speaker: | Ilaria Colazzo |
|---|
|
Title: Combinatorial Solutions to the Pentagon Equation and Matched Pairs of Groups
Abstract: In this talk, I will present a complete classification of finite bijective set-theoretic solutions to the Pentagon Equation, uncovering a surprising connection with matched pairs of groups. We will introduce all necessary definitions. Next, we will focus on the fundamental components: the irretractable solutions, and we will examine how these solutions relate to matched pairs of groups. Finally, we will show how each irretractable solution can be lifted to classify all bijective solutions.
Speaker
Ilaria Colazzo
Organisation: University of Leeds
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
