Victor P. Whittaker (1919-2016)

Whittaker functors for G S p 4

1.1 One of the important technical tools in D. Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence ([3]) is the theory of Whittaker functors for GLn. In this paper we define analogous functors for GSp4 and study their properties. Let us first review the situation at the level of automorphic forms on G = Sp4. Let X be a smooth projective absolutely i...

Mellin transforms of p-adic Whittaker functions

ON p-ADIC GENERALIZED WHITTAKER FUNCTIONS ON GSp(4)

Let G be a connected reductive algebraic group defined over a non-Archimedean local field F . The study of Whittaker functions on G has a long history. For example, if G = GL(2), an explicit formula for the Whittaker function is well-known (See [5]). Shintani proved an explicit formula for the case G = GL(n) and expressed it by Schur polynomials in [16]. Casselman and Shalika generalized Shinta...

Whittaker Quantum

We show that closed, radiation-filled Friedmann-Robertson-Walker quantum universes of arbitrary factor ordering obey the Whittaker equation. We also present the formal Witten factorization as well as the double Darboux strictly isospectral scheme for the Whittaker equation. If in the " time-time " component of Einstein's equations for Friedmann-Robertson-Walker (FRW) universes ˙ a 2 + k = 8πG 3...

Victor Ambros

Victor Ambros grew up in Vermont and graduated from MIT in 1975. He did his graduate research (1976–1979) with David Baltimore at MIT, studying poliovirus genome structure and replication. He began to study the genetic pathways controlling developmental timing in the nematode Caenorhabditis elegans as a postdoc in Robert Horvitz’s lab at MIT, and continued those studies while on the faculty of ...