Bruhat-Tits Theory (Record no. 59385)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02293 a2200229 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230726b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781108831963 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 512.54 |
| Item number | KAL |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kaletha, Tasho |
| 245 ## - TITLE STATEMENT | |
| Title | Bruhat-Tits Theory |
| Sub Title | : A New Approach |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Cambridge University Press |
| Year of publication | 2023 |
| Place of publication | Cambridge |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 718p |
| 490 ## - SERIES STATEMENT | |
| Series statement | New mathematical monographs |
| Volume number/sequential designation | 44 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Affine root systems and abstract buildings<br/>Algebraic groups<br/>Examples: quasi-split simple groups of rank 1<br/>Overview and summary of Bruhat-Tits theory<br/>The Apartment<br/>The Bruhat-Tits building for a valuation of the root datum<br/>Integral models<br/>Unramified descent<br/>Residue field F of dimension <1<br/>Component groups of integral models<br/>Finite group actions and tamely ramified descent<br/>Moy-Prasad filtrations<br/>Functorial properties<br/>The buildings of classical groups via Lattice chains<br/>Classification of maximal unramified tori (dʼaprès DeBacker)<br/>Classification of tamely ramified maximal tori<br/>The volume formula |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "Bruhat-Tits theory is an important topic in number theory, representation theory, harmonic analysis, and algebraic geometry. This book gives the first comprehensive treatment of this theory over discretely valued Henselian fields. It can serve both as a reference for researchers in the field and as a thorough introduction for graduate students and early career mathematicians. Part I of the book gives a review of the relevant background material, touching upon Lie theory, metric geometry, algebraic groups, and integral models. Part II gives a complete, detailed, and motivated treatment of the core theory. For more experienced readers looking to learn the essentials for use in their own work, there is also an axiomatic summary of Bruhat-Tits theory that suffices for the main applications. Part III treats modern topics that have become important in current research. Part IV provides a few sample applications of the theory. The appendices contain further details on the topic of integral models, including a detailed study of the integral models of tori"-- Provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Buildings (Group theory) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number theory |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Prasad, Gopal |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 29, Shelf No: 27 | 512.54 KAL | 77349 | BOOKS |