43 citations · 108 across the 17 of their papers we have counts for
4 papers · 1 filter
On the Ramanujan conjecture for automorphic forms over function fields I. Geometry
Will Sawin, Nicolas Templier
Let be a split semisimple group over a function field. We prove the temperedness at unramified places of automorphic representations of , subject to a local assumption at on…
The mirror conjecture for minuscule flag varieties
Thomas Lam, Nicolas Templier
We prove Rietsch's mirror conjecture that the Dubrovin quantum connection for minuscule flag varieties is isomorphic to the character D-module of the Berenstein-Kazhdan geometric c…
Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families
Ju-Lee Kim, Sug Woo Shin, Nicolas Templier
We establish properties of families of automorphic representations as we vary prescribed supercuspidal representations at a given finite set of primes. For the tame supercuspidals…
Asymptotics and local constancy of characters of p-adic groups
Ju-Lee Kim, Sug Woo Shin, Nicolas Templier
In this paper we study quantitative aspects of trace characters of reductive -adic groups when the representation varies. Our approach is based on the local constancy…