Dipendra Prasad
TIFR
November 10, 2016
A relative Local Langlands correspondence, and geometry of parameter spaces.: For $E/F$ quadratic extension of local fields, we consider the question of classifying irreducible admissible representations of $G(E)$ which carry a $G(F)$-inv. linear form. Although in a certain generic sense, one expects a simple answer --- multiplicity 1, and exact characterization, the full answer is rather complicated --- and interesting, involving geometry of Langlands parameters. The colloquium talk will begin by reviewing the Local Langlands correspondence.
TIFR
November 10, 2016
A relative Local Langlands correspondence, and geometry of parameter spaces.: For $E/F$ quadratic extension of local fields, we consider the question of classifying irreducible admissible representations of $G(E)$ which carry a $G(F)$-inv. linear form. Although in a certain generic sense, one expects a simple answer --- multiplicity 1, and exact characterization, the full answer is rather complicated --- and interesting, involving geometry of Langlands parameters. The colloquium talk will begin by reviewing the Local Langlands correspondence.