GENERAL
SEMINAR

“Geometry and physics of
invariant theory”

by

Alexander
KLYAChko

Bilkent University

Abstract: Felix Klein in his
Manifesto 1872, known as Erlangen program, reduced projective geometry to
invariant theory of a relevant geometrical structure group G. However, soon
after initial success, it became clear that a complete algebraic description of
invariants is an intractable problem for all but

very few representations. A way out of this deadlock was first indicated by
Hilbert who invented ingenious geometrical arguments to get an insight into
structure of invariants. The approach was further advanced by Mumford who transform it into huge research area known as Geometric
Invariant Theory. In the talk I outline the basic ideas of Hilbert-Mumford
theory and explain how they can be applied to some longstanding problems
originated both from mathematics and physics. This talk is a continuation of a series,
initiated by Aurelian Gheondea, of nontechnical
surveys on active research topics in Math department.

Date : December 8, 2010 (Wednesday)

Time : 15.40

Place: Bilkent University ,Mathematics Seminar Room SA141

Tea will be served before the seminar.