Colloquium abstracts

Hung Yean Loke
National University of Singapore
January 13, 2012

Dual reductive pairs, and Exceptional Lie groups:  Dual reductive pairs are important algebraic objects in representation theory of p-adic groups. These were studied by Roger Howe for the symplectic group, and through the Weil representation of the symplectic group, play an important role in the subject. In this lecture, we classify dual reductive pairs in all excetional Lie groups. As a step in this direction, we also discuss classification of exceptional Lie groups over general fields in terms of Octonion and Jordan algebras, and then use Hasse principle for Galois cohomology to classify them over number fields.