Theoretical Statistics and Mathematics Unit, ISI Delhi

September 7, 2011 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Maneesh Thakur,
Indian Statistical Institute

Title:
Group of rational points of algebraic groups

Abstract of Talk

Let $G$ be an algebraic group (a group defined by polynomial
equations) over a field $K$ (not nec. algebraically closed,
e.g., field of rationals, reals). If $K$ is infinite, the
group $G(K)$ of $K$-points is dense in $G,$ in most of
situations. Hence group theoretic properties of $G(K),$ e.g. its
simplicity, its representation theory etc, are important
in the study of $G$ itself.
In this talk, we will discuss some celebrated problems
concerning $G(K)$ (e.g. the Kneser-Tits problem) and
mention some recent research in the subject.