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La formule des traces locale tordue

By: Moeglin, Colette Waldspurger, J.-L.

Part of the Memoirs of the American Mathematical Society series
1470427710 / 9781470427719
Paperback
512.74
30/03/2018
Stock expected by 19/07/2020
26 cm 180 pages
Professional & Vocational  Learn More

A note to readers: This book is in French. The text has two chapters. The first one, written by Waldspurger, proves a twisted version of the local trace formula of Arthur over a local field.

This formula is an equality between two expressions, one involving weighted orbital integrals, the other one involving weighted characters.

The authors follow Arthur's proof, but the treatement of the spectral side is more complicated in the twisted situation.

They need to use the combinatorics of the ``Morning Seminar''.

The authors' local trace formula has the same consequences as in Arthur's paper on elliptic characters.

The second chapter, written by Moeglin, gives a symmetric form of the local trace formula as in Arthur's paper on Fourier Transform of Orbital integral and describes any twisted orbital integral, in the p-adic case, as integral of characters.

BIC:

PBF Algebra, PBMW Algebraic geometry

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