It takes the average reader 8 hours and 36 minutes to read Automorphic Representations Of Low Rank Groups by Yuval Z Flicker
Assuming a reading speed of 250 words per minute. Learn more
The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called “liftings”. This book concentrates on two initial examples: the symmetric square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of PGL(2) in SL(3); and basechange from the unitary group U(3, E/F) to GL(3, E), [E : F] = 2.The book develops the technique of comparison of twisted and stabilized trace formulae and considers the “Fundamental Lemma” on orbital integrals of spherical functions. Comparison of trace formulae is simplified using “regular” functions and the “lifting” is stated and proved by means of character relations.This permits an intrinsic definition of partition of the automorphic representations of SL(2) into packets, and a definition of packets for U(3), a proof of multiplicity one theorem and rigidity theorem for SL(2) and for U(3), a determination of the self-contragredient representations of PGL(3) and those on GL(3, E) fixed by transpose-inverse-bar. In particular, the multiplicity one theorem is new and recent.There are applications to construction of Galois representations by explicit decomposition of the cohomology of Shimura varieties of U(3) using Deligne's (proven) conjecture on the fixed point formula.
Automorphic Representations Of Low Rank Groups by Yuval Z Flicker is 499 pages long, and a total of 129,241 words.
This makes it 168% the length of the average book. It also has 158% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 11 hours and 46 minutes to read Automorphic Representations Of Low Rank Groups aloud.
Automorphic Representations Of Low Rank Groups is suitable for students ages 12 and up.
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