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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
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Algebra"
  • By Department of Mathematics

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

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Frank Adams 1
Alan Turing Building
Manchester

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Simon Crawford

simon.crawford@manchester.ac.uk

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