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Geometry of Moduli Spaces and Representation Theory, Roman Bezrukavnikov, Alexander Braverman, Zhiwei Yun


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Автор: Roman Bezrukavnikov, Alexander Braverman, Zhiwei Yun
Название:  Geometry of Moduli Spaces and Representation Theory
ISBN: 9781470435745
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470435748
Обложка/Формат: Hardback
Страницы: 436
Вес: 0.92 кг.
Дата издания: 30.12.2017
Серия: Ias/park city mathematics series
Язык: English
Размер: 190 x 263 x 27
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry
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Поставляется из: Англии
Описание: 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.
Дополнительное описание: Algebra|Algebraic geometry


Geometry and Quantization of Moduli Spaces

Автор: Vladimir Fock; Andrey Marshakov; Florent Schaffhau
Название: Geometry and Quantization of Moduli Spaces
ISBN: 3319335774 ISBN-13(EAN): 9783319335773
Издательство: Springer
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Цена: 27940.00 T
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Описание: It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces.

Geometry of Moduli

Автор: Christophersen Jan Arthur, Ranestad Kristian
Название: Geometry of Moduli
ISBN: 3319948806 ISBN-13(EAN): 9783319948805
Издательство: Springer
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Цена: 186330.00 T
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Описание:

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svin?ya Rorbuer, Svolv?r in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry. Written by many of the main contributors to this evolving subject, the book provides a comprehensive collection of new methods and the various directions in which moduli theory is advancing. These include the geometry of moduli spaces, non-reductive geometric invariant theory, birational geometry, enumerative geometry, hyper-k?hler geometry, syzygies of curves and Brill-Noether theory and stability conditions. Moduli theory is ubiquitous in algebraic geometry, and this is reflected in the list of moduli spaces addressed in this volume: sheaves on varieties, symmetric tensors, abelian differentials, (log) Calabi-Yau varieties, points on schemes, rational varieties, curves, abelian varieties and hyper-K?hler manifolds.

Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures

Автор: Lutz Habermann
Название: Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures
ISBN: 3540679871 ISBN-13(EAN): 9783540679875
Издательство: Springer
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Цена: 32560.00 T
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Описание: This monograph deals with questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a canonical metric for conformal structures. The book is accessible to readers with basic knowledge in differential geometry and global analysis.

Moduli Spaces of Riemannian Metrics

Автор: Wilderich Tuschmann; David J. Wraith
Название: Moduli Spaces of Riemannian Metrics
ISBN: 3034809476 ISBN-13(EAN): 9783034809474
Издательство: Springer
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Цена: 23280.00 T
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Описание: This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature.

Compactifying Moduli Spaces

Автор: Paul Hacking; Radu Laza; Dragos Oprea; Gilberto Bi
Название: Compactifying Moduli Spaces
ISBN: 3034809204 ISBN-13(EAN): 9783034809207
Издательство: Springer
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Цена: 23280.00 T
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Описание: This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated. Three contributions give an insight on particular aspects of moduli problems.

Algebraic Curves: Towards Moduli Spaces

Автор: Kazaryan Maxim E., Lando Sergei K., Prasolov Victor V.
Название: Algebraic Curves: Towards Moduli Spaces
ISBN: 3030029425 ISBN-13(EAN): 9783030029425
Издательство: Springer
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Цена: 65210.00 T
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Описание:

Introduction.- 1 Preliminaries - 2 Algebraic curves.- 3 Complex structure and the topology of curves.- 4 Curves in projective spaces.- 5 Plьcker formulas.- 6 Mappings of curves.- 7 Differential 1-forms on curves.- 8 Line bundles, linear systems, and divisors.- 9 Riemann-Roch formula and its applications.- 10 Proof of the Riemann-Roch formula.- 11 Weierstrass points.- 12 Abel's theorem.- 13 Examples of moduli spaces.- 14 Approaches to constructing moduli spaces.- 15 Moduli spaces of rational curves with marked points.- 16 Stable curves.- 17 A backward look from the viewpoint of characteristic classes.- 18 Moduli spaces of stable maps.- 19 Exam problems.- References.- Index.


Moduli Spaces

Автор: Brambila-Paz
Название: Moduli Spaces
ISBN: 1107636388 ISBN-13(EAN): 9781107636385
Издательство: Cambridge Academ
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Цена: 64410.00 T
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Описание: Moduli theory represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other disciplines such as theoretical physics. This book presents articles on both fundamental material and advanced research topics, accessible at the graduate level and above.

Differential Function Fields and Moduli of Algebraic Varieties

Автор: Alexandru Buium
Название: Differential Function Fields and Moduli of Algebraic Varieties
ISBN: 3540171940 ISBN-13(EAN): 9783540171942
Издательство: Springer
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Цена: 23250.00 T
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Moduli of Supersingular Abelian Varieties

Автор: Ke-Zheng Li; Frans Oort
Название: Moduli of Supersingular Abelian Varieties
ISBN: 3540639233 ISBN-13(EAN): 9783540639237
Издательство: Springer
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Цена: 27910.00 T
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Описание: An analysis of the moduli of supersingular abelian varieties. It considers: flag type quotients; main results on S ag,lu; PFTQs of Dieudonne modules over W; moduli of rigid PFTQs of Dieudonne modules; some class numbers; main results on S ag,du; and proofs of the propositions on FTQs.


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