19 citations · 36 across the 9 of their papers we have counts for
5 papers · 1 filter
A Statement of the Fundamental Lemma
Thomas C. Hales
These notes give a statement of the "fundamental lemma," which is a conjectural identity between p-adic integrals that arises as part of the Langlands program.
Good orbital integrals
Clifton Cunningham, Thomas C. Hales
This paper concerns a class of orbital integrals in Lie algebras over p-adic fields. The values of these orbital integrals at the unit element in the Hecke algebra count points on…
Orbital Integrals are Motivic
Thomas C. Hales
This article shows that under general conditions, p-adic orbital integrals of definable functions are represented by virtual Chow motives. This gives an explicit example of the phi…
Virtual Transfer Factors
Julia Gordon, Thomas C. Hales
The Langlands-Shelstad transfer factor is a function defined on some reductive groups over a p-adic field. Near the origin of the group, it may be viewed as a function on the Lie a…
Can p-adic integrals be computed?
Thomas C. Hales
This article gives an introduction to arithmetic motivic integration in the context of p-adic integrals that arise in representation theory. A special case of the fundamental lemma…