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Geometry of moduli spaces and representation theory [Vol. 24] (Record no. 565292)

000 -LEADER
fixed length control field 02611 a2200289 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220321150717.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220311b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781470435745
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.35
Item number G292
245 ## - TITLE STATEMENT
Title Geometry of moduli spaces and representation theory [Vol. 24]
Statement of responsibility, etc edited by Roman Bezrukavnikov, Alexander Braverman and Zhiwei Yun
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher American Mathematical Society
Place of publication Providence
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Institute for Advanced Study
Year of publication 2017
Place of publication New Jersey
300 ## - PHYSICAL DESCRIPTION
Number of Pages x, 436p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title IAS/PARK CITY mathematics series
490 ## - SERIES STATEMENT
Series statement / edited by Rafe Mazzeo; v. 24
520 ## - SUMMARY, ETC.
Summary, etc This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program ``Geometry of moduli spaces and representation theory'', and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory.

Geometric representation theory is a young but fast developing research area at the intersection of these subjects. An early profound achievement was the famous conjecture by Kazhdan-Lusztig about characters of highest weight modules over a complex semi-simple Lie algebra, and its subsequent proof by Beilinson-Bernstein and Brylinski-Kashiwara. Two remarkable features of this proof have inspired much of subsequent development: intricate algebraic data turned out to be encoded in topological invariants of singular geometric spaces, while proving this fact required deep general theorems from algebraic geometry.

Another focus of the program was enumerative algebraic geometry. Recent progress showed the role of Lie theoretic structures in problems such as calculation of quantum cohomology, K-theory, etc. Although the motivation and technical background of these constructions is quite different from that of geometric Langlands duality, both theories deal with topological invariants of moduli spaces of maps from a target of complex dimension one. Thus they are at least heuristically related, while several recent works indicate possible strong technical connections.

The main goal of this collection of notes is to provide young researchers and experts alike with an introduction to these areas of active research and promote interaction between the two related directions.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Moduli theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Representations of algebras
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Geometry, Algebraic
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Bezrukavnikov, Roman [ed.]
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Braverman, Alexander [ed.]
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Yun, Zhiwei [ed.]
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Cost, normal purchase price Serial Enumeration / chronology Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2022-03-21 8 6090.49 v. 24 516.35 G292 v.24 A185679 7808.32 Books

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