Università degli Studi di Padova

“An introduction to sheets of conjugacy classes in reductive groups”

Wednesday 18 December 2019, h. 15:30 - Room 2BC30 - Filippo Ambrosio (Padova, Dip. Mat)


Linear algebraic groups arose as a generalization of Lie groups, introduced in the late 1800s to study continuous symmetries of differential equations. The development of the modern theory of algebraic groups with the use of algebraic geometry is mostly due to Borel: in the 1950s, his work led to the definition of Chevalley groups, an important family of finite simple groups. This suggests that algebraic groups can be approached from different perspectives (Group Theory, Algebraic Geometry, Combinatorics) and have applications in several directions (Invariant Theory, Physics).

In the first part of the talk we will introduce basic notions and examples of linear algebraic groups. The last part of the seminar aims at describing some of the geometric structure of these groups.