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Theoretical issues and applications of the Selberg, Arthur and relative trace formulas

6 votes
2 answers
435 views

Reduction to Lie algebra version of fundamental lemma?

Ngo famously proved the Langlands-Shelstad fundamental lemma for Lie algebras using the geometry of the Hitchin fibration. For the purposes of the trace formula, one actually needs the fundamental le …
Spencer Leslie's user avatar
4 votes
1 answer
208 views

Simple trace formula with different spectral footprint?

A standard idea when dealing with the Arthur-Selberg trace formula (or a relative trace formula, for that matter) is to impose local conditions on the test function $f=\prod_vf_v$ to obtain a simple t …
Spencer Leslie's user avatar