Title: Weak braces and solutions of the Yang-Baxter equation
Speaker: Marzia MAZZOTTA
Institution: University of Salento
Date & Time: April 3, 2025, 21:00–23:00
Location: Zoom ID: 904 645 6677, Password: 2024
Meeting Link: https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456
Abstract:
: Weak braces are algebraic structures that include skew braces and give rise to set-theoretic solutions of the Yang-Baxter equation, which are close to being bijective and non-degenerate. We show that a class of weak braces is obtained as a strong semilattice of certain specific skew braces. Consequently, also their associated solution is the strong semilattice of the bijective non-degenerate solutions associated with each of these skew braces. The talk is based on a joint work in collaboration with Francesco Catino and Paola Stefanelli.
Biography of the Speaker：Marzia received her Master’s degree from the University of Salento in 2016 and her Ph.D. degree from the same university in 2020, under the supervision of Prof. Francesco Catino. Her Ph.D. thesis focuses on the Pentagon equation, above all set-theoretic solutions defined on specific semigroups. She has been a PostDoc at the University of Salento since 2020. Marzia’s research is centered on algebraic structures connected to the Yang-Baxter equation, such as braces and their generalizations. Moreover, she also continues to investigate special classes of set-theoretic solutions to the Pentagon equation.
