Dr Alastair Litterick (University of Essex)
14:00 - 16:00
Dr Alastair Litterick
Lectures, talks and seminars
Mathematical Sciences Departmental Seminar
Mathematical Sciences, Department of
Andrew Harrison firstname.lastname@example.org
This talk has been postponed.
These Departmental Seminars are for everyone interested in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.
Refreshments are shared in the Department (STEM 5.1) after every seminar.
The notion of ‘complete reducibility’ is fundamental in representation theory and commutative algebra. Complete reducibility is responsible for many problems becoming easy to solve, for instance in finite group theory, geometry, Lie groups, Lie algebras and elsewhere.
Translating this concept into purely group-theoretic terms, J.P. Serre extended this notion to ‘G-complete reducibility’ in a reductive algebraic group G. It turns out that this allows many techniques and results from commutative algebra to be extended to the world of algebraic groups, and also has surprising connections to geometry, particularly affine Geometric Invariant Theory. We’ll take a look at these connections and some applications to abstract group theory.