Theoretical Statistics and Mathematics Unit, ISI Delhi

August 6, 2014 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Neha Hooda,
Indian Statistical Institute, New Delhi

Title:
Rank-2 Tori in Exceptional Groups

Abstract of Talk

In this talk, we will see that certain low rank algebraic
groups ( mainly of type $A_2,G_2$ and $F_4$) defined over a
field $k$, are generated by their rank-2 tori. This motivates
us to find conditions which control embeddings of rank-2
tori in algebraic groups. We shall describe some of the
results we have obtained in this context and also mention
explicit numbers of such tori required to generate a given
group. We will also discuss Galois cohomology of rank-2 tori
and mention some applications to the above theme.