Introduction to Automorphic Representations

Algebraic groups and their adelic points; representation theory of reductive groups over archimedean and non-archimedean fields; automorphic representations; the Satake isomorphism and the Langlands functoriality conjecture. Additional topics may include trace formulae, discreteness of the cuspidal spectrum, integral representations of L-functions, or connections to locally symmetric spaces. Prerequisite: 501, 502, 531 or equivalent, or permission of instructor.