Hodge theory, complex geometry and representation theory (Record no. 1672)

000 -LEADER
fixed length control field 02001nam a2200241Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241204161545.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 978-1-4704-1012-4
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA564
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Mark Green
245 ## - TITLE STATEMENT
Title Hodge theory, complex geometry and representation theory
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c2013]
Place of publication, distribution, etc. Rhode Island:
300 ## - Physical Description
Pages: 308 p.
490 ## - SERIES STATEMENT
Series statement CBMS Regional Conference Series in Mathematics
Volume/sequential designation 118
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction<br/>2. The classical theory: Part I<br/>3. The classical theory: Part II<br/>4. Polarized Hodge structures and Mumford-Tate groups and domains<br/>5. Hodge representations and Hodge domains<br/>6. Discrete series and n-cohomology<br/>7. Geometry of flag domains: Part I<br/>8. Geometry of flag domains: Part II<br/>9. Penrose transforms in the two main examples<br/>10. Automorphic cohomology<br/>11. Miscellaneous topics and some questions<br/>
520 ## - SUMMARY, ETC.
Summary, etc. This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another—an approach that is complementary to what is in the literature. Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. Infinite-dimensional representation theory, specifically the discrete series and their limits, enters through the realization of these representations through complex geometry as pioneered by Schmid, and in the subsequent description of automorphic cohomology. For the latter topic, of particular importance is the recent work of Carayol that potentially introduces a new perspective in arithmetic automorphic representation theory. --- summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Phillip Griffiths
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Matt Kerr
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 6 01/18/2018 QA564 00935 Book