# Seminar at SMU 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.