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Sino-Russian Mathematics Center-JLU Colloquium(2023-018)—Semidirect products in digroups, skew braces, heaps, trusses, and in universal algebra

Posted: 2023-08-31   Views: 

Title:Semidirect products in digroups, skew braces, heaps, trusses, and in universal algebra

Reporter:Alberto Facchini

Work Unit:University of Padua

Time:2023/09/07 20:00-22:00

Address:Zoom id:904 645 6677  Password:2023

 

Summary of the report:

We will present some algebraic structures that have recently received attention in view of their relation with set theoretic solutions of the Yang-Baxter equation. We will present the basic properties of digroups, skew braces, heaps, and trusses. In particular, we will focus on their semidirect products.

 

Introduction of the Reporter:

Alberto Facchini has been full professor of Algebra until 1999 at the University of Udine, and from 1999 to 2022 at the University of Padua. Now he is Emeritus Professor. He has had six PhD students, and has written more than 170 research papers published in mathematical journals, four textbooks, and two research books published by Birkhäuser Verlag (Basel). He is a member of Accademia San Marco and Accademia Galileiana di Scienze Lettere ed Arti in Padova. He has given scientific communications and lectures in almost 40 different countries. He has been one of the editors of a dozen of mathematical journal, among which Bollettino dell'Unione Matematica Italiana, Communications in Algebra, Journal of Algebra and Its Applications, Journal of the Egyptian Mathematical Society, and Rendiconti del Seminario Matematico dell'Università di Padova. In Udine he has been dean of the Faculty of Science, in Padua he has been director of the Department of Pure and Applied Mathematics.