Speaker: Loic Foissy (Université du Littoral Côte d’Opale (ULCO), Calais, France)

Time: 20:00-21:00 p.m., January 11, 2024, GMT+8

Venue: ZOOM ID：904 645 6677, Password：2023

Abstract: 

In the last few years, several generalizations of classical objects (associative, dendriform, pre-Lie, Rota-Baxter algebras and others) appear in the literature. In each case, each product is replaced by a family of products indexed by a set (matching objects) or by a semigroup (family objects), with axioms mimicking the classical one in such a way that, loosely speaking, the underlying combinatorics is conserved. We shall give a way to include all these generalizations in a same frame. This will make appear algebraic structures on the set used for the parametrization, such as extended (di)-associative semigroups, which are (di)-associative semigroups with extra products. This is a joint work with Dominique Manchon, Xiao-Song Peng and Yuanyuan Zhang.

Source: Sino Russian Mathematics Center, PKU