Time: 9:30 -- 11:00, December 27, 2023.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: This talk is a report of my doctoral thesis. The theory of Clifford algebras is a fundamental tool to study quadratic forms. Several generalizations of Clifford algebras have been studied, and as is customary in algebra, their representations have been considered. As suggested by the connection between these representations and Ulrich bundles, Krashen and Lieblich give the definition of a generalized Clifford algebra as an algebra representing the Clifford functor. In this talk, we construct various adjunctions that upgrade Krashen and Lieblich’s definition.