Speaker: Devadatta Ganesh Hegde
Date: September 18, 2025
Affiliation: TIFR, Mumbai

Abstract: In 1964, Robert Langlands drafted a manuscript entitled \emph{``On the Functional Equations Satisfied by Eisenstein Series}'', addressing the spectral decomposition of spaces such as \[L^{2}\left(SL(n,\mathbb{Z})\backslash SL(n,\mathbb{R})\right).\] Published in 1976 with only minor revisions, this manuscript became a cornerstone of the Langlands program---yet, as Langlands himself remarked, \textquotedblleft it has proven almost impenetrable.\textquotedblright{} <br> In this talk, I will discuss the simplest cases of this work, focusing on the poles of Eisenstein series, which form a crucial first step toward understanding the general theory. I will also present some of my recent results in this direction. <br><br><br>