Speaker: Prof. Anupam Kumar Singh
Affiliation: IISER Pune
Title: Word maps on matrix algebras
Venue: PSB Seminar Room
Date and Time: 8th May 2023, 3 p.m.
Abstract: Given a polynomial in d non-commuting variables, one defines a map on a central simple algebra A and one wants to understand the nature of the image, like Kaplansky-L'ovo conjecture. In this talk, we will see some of the results proved in this direction and the kind of questions being studied. There has been tremendous progress for analogous questions for a word w in d variables which gives rise to a map on a group G defined by evaluations, called word maps. Such questions are motivated by the Waring problem in number theory and Ore's conjecture in group theory.