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Arithmetic Quotients of the Bruhat-Tits Building for Projective General Linear Groups in Positive Characteristic - Satoshi Kondo, Seidai Yasuda

Arithmetic Quotients of the Bruhat-Tits Building for Projective General Linear Groups in Positive Characteristic

Buch | Softcover
96 Seiten
2025
American Mathematical Society (Verlag)
978-1-4704-7313-6 (ISBN)
CHF 139,30 inkl. MwSt
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In a respected series, extensive advances in pure and applied mathematics are unveiled through long, interrelated papers compiled in book form. Managed by a dedicated Editorial Committee, each peer-reviewed contribution upholds rigorous academic scrutiny, illuminating fresh insights and fostering deep understanding in mathematical research.
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Satoshi Kondo, Middle East Technical University, Northern Cyprus Campus, Guzelyurt, Turkish Republic of Northern Cyprus, and University of Tokyo, Kashiwa, Japan.. Seidai Yasuda, Hokkaido University, Sapporu, Japan.

Chapters
1. Introduction
2. Generalized simplicial complexes and their (co)homology
3. The Bruhat-Tits building and apartments
4. Arithmetic subgroups and modular symbols
5. Automorphic Forms with Steinberg at infinity
6. Double cosets for automorphic forms
7. Proof of Theorem 5.4.2
8. Universal Modular Symbols
9. On finite $p$-subgroups of arithmetic subgroups
10. Some spectral sequences
11. Proof for universal modular symbols
12. Comparison of modular symbols

Erscheinungsdatum
Reihe/Serie Memoirs of the American Mathematical Society
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-7313-5 / 1470473135
ISBN-13 978-1-4704-7313-6 / 9781470473136
Zustand Neuware
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