Wednesday 10 July 2024 at 2 pm, as part of the Al@Bicocca seminar cycle, Susanne Pumpluen (University of Nottingham) will talk about
Title: Generalizing classical results from central simple algebras to the nonassociative setting, and introducing the semiassociative Brauer monoid
Abstract: Recently, the theory of semiassociative algebras and their Brauer monoid was introduced by Blachar, Haile, Matri, Rein, and Vishne as a canonical generalization of the theory of associative central simple algebras and their Brauer group; together with the tensor product, semiassociative algebras over a field form a monoid that contains the classical Brauer group as its unique maximal subgroup. I would like to introduce to you some classes of semiassociative algebras that are canonical generalizations of cyclic simple algebras and explore their behaviour in the Brauer monoid. Time permitting, we can also discuss some - hopefully interesting - particularities and challenges of this newly defined Brauer monoid.
Information to attend in presence:
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca
Information to attend online:
Visit the page https://unimib.webex.com/unimib/j.php?MTID=m0e6c09d2d84419aff77e34861d74db0e