Date: Tuesday, January 09, 2018
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Nilpotent Orbits in Semisimple Lie Algebras
Abstract: An algebraic group or Lie group G acts on itself by conjugation and, after taking differentials, descends to an action on the Lie algebra called the adjoint representation of G. The orbits of nilpotent elements under this action turn out to be of interest in several areas of representation theory. In this talk, we will first discuss how the representation theory of sl_2 can be used to classify nilpotent orbits. Then we will discuss the Springer correspondence, which relates nilpotent orbits to representations of Coxeter groups. Finally, we will briefly discuss orbital integrals and their connections to representation theory, with an emphasis on the special role played by nilpotent orbital integrals.
Files:
Speaker: Jacob Haley
Institution: University of Michigan
Event Organizer: Trevor Hyde tghyde@umich.edu
