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# Alfio Fabio La Rosa : Translation functors and the trace formula

I will propose a way to combine the theory of translation functors with the trace formula to study automorphic representations of connected semisimple anisotropic algebraic groups over the rational numbers whose Archimedean component is a limit of discrete series. I will explain the main ideas of the derivation of a trace formula which, modulo a conjecture on the decomposition of the tensor product of a limit of discrete series with a finite-dimensional representation into basic representations, allows to isolate the non-Archimedean parts of a finite family of C-algebraic automorphic representations containing the ones whose Archimedean component is a given limit of discrete series.

**Category**: Number Theory**Duration**: 01:03:02**Date**: November 15, 2023 at 3:10 PM**Views**: 490-
**Tags:**seminar, Number Theory Seminar

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