Arbeitstagung Bonn 2013

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Arbeitstagung Bonn 2013

Werner Ballmann,Christian Blohmann,Gerd Faltings,Peter Teichner,Don Zagier
Arbeitstagung Bonn 2013 Book PDF

Author : Werner Ballmann,Christian Blohmann,Gerd Faltings,Peter Teichner,Don Zagier
Publisher : Birkhäuser
Page : 425 pages
File Size : 54,5 Mb
Release : 2016-11-11
Category : Mathematics
ISBN : 9783319436487

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Arbeitstagung Bonn 2013 by Werner Ballmann,Christian Blohmann,Gerd Faltings,Peter Teichner,Don Zagier Pdf

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung.

Representations of Reductive p-adic Groups

Anne-Marie Aubert,Manish Mishra,Alan Roche,Steven Spallone
Representations of Reductive p adic Groups Book PDF

Author : Anne-Marie Aubert,Manish Mishra,Alan Roche,Steven Spallone
Publisher : Springer
Page : 289 pages
File Size : 43,8 Mb
Release : 2019-04-16
Category : Mathematics
ISBN : 9789811366284

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Representations of Reductive p-adic Groups by Anne-Marie Aubert,Manish Mishra,Alan Roche,Steven Spallone Pdf

This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike.

String-Math 2016

Amir-Kian Kashani-Poor,Ruben Minasian,Nikita Nekrasov,Boris Pioline
String Math 2016 Book PDF

Author : Amir-Kian Kashani-Poor,Ruben Minasian,Nikita Nekrasov,Boris Pioline
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 47,9 Mb
Release : 2018-06-06
Category : Geometry, Algebraic
ISBN : 9781470435158

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String-Math 2016 by Amir-Kian Kashani-Poor,Ruben Minasian,Nikita Nekrasov,Boris Pioline Pdf

This volume contains the proceedings of the conference String-Math 2016, which was held from June 27–July 2, 2016, at Collége de France, Paris, France. String-Math is an annual conference covering the most significant progress at the interface of string theory and mathematics. The two fields have had a very fruitful dialogue over the last thirty years, with string theory contributing key ideas which have opened entirely new areas of mathematics and modern mathematics providing powerful concepts and tools to deal with the intricacies of string and quantum field theory. The papers in this volume cover topics ranging from supersymmetric quantum field theories, topological strings, and conformal nets to moduli spaces of curves, representations, instantons, and harmonic maps, with applications to spectral theory and to the geometric Langlands program.

Quantum Field Theory and Manifold Invariants

Daniel S. Freed,Sergei Gukov,Ciprian Manolescu,Constantin Teleman,Ulrike Tillmann
Quantum Field Theory and Manifold Invariants Book PDF

Author : Daniel S. Freed,Sergei Gukov,Ciprian Manolescu,Constantin Teleman,Ulrike Tillmann
Publisher : American Mathematical Society, IAS/Park City Mathematics Institute
Page : 476 pages
File Size : 42,9 Mb
Release : 2021-12-02
Category : Mathematics
ISBN : 9781470461232

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Quantum Field Theory and Manifold Invariants by Daniel S. Freed,Sergei Gukov,Ciprian Manolescu,Constantin Teleman,Ulrike Tillmann Pdf

This volume contains lectures from the Graduate Summer School “Quantum Field Theory and Manifold Invariants” held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include mathematical gauge theory (anti-self-dual equations, Seiberg-Witten equations, Higgs bundles), classical and categorified knot invariants (Khovanov homology, Heegaard Floer homology), instanton Floer homology, invertible topological field theory, BPS states and spectral networks. This collection presents a rich blend of geometry and topology, with some theoretical physics thrown in as well, and so provides a snapshot of a vibrant and fast-moving field. Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.

Singularities - Kagoshima 2017: Proceedings Of The 5th Franco-japanese-vietnamese Symposium On Singularities

Anonim
Singularities Kagoshima 2017 Proceedings Of The 5th Franco japanese vietnamese Symposium On Singularities Book PDF

Author : Anonim
Publisher : World Scientific
Page : 312 pages
File Size : 54,7 Mb
Release : 2020-06-15
Category : Mathematics
ISBN : 9789811206047

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Singularities - Kagoshima 2017: Proceedings Of The 5th Franco-japanese-vietnamese Symposium On Singularities by Anonim Pdf

This is a proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities held in Kagoshima during 27th October - 3rd November, 2017. The main theme of the symposium was Singularity Theory in a broad sense, including complex and real algebraic varieties, functions and mappings, and topology of singularities. The symposium was based on long-term interaction of singularity theorists in France, Japan, Vietnam and other countries. This volume includes three surveys of recent trends based on the lectures in the mini-school organized in the first two days of the symposium and articles presenting recent progress in Singularity Theory.

K3 Surfaces and Their Moduli

Carel Faber,Gavril Farkas,Gerard van der Geer
K3 Surfaces and Their Moduli Book PDF

Author : Carel Faber,Gavril Farkas,Gerard van der Geer
Publisher : Birkhäuser
Page : 399 pages
File Size : 40,8 Mb
Release : 2016-04-22
Category : Mathematics
ISBN : 9783319299594

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K3 Surfaces and Their Moduli by Carel Faber,Gavril Farkas,Gerard van der Geer Pdf

This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties,” which originated from conferences on the islands Texel and Schiermonnikoog and which have become classics. K3 surfaces and their moduli form a central topic in algebraic geometry and arithmetic geometry, and have recently attracted a lot of attention from both mathematicians and theoretical physicists. Advances in this field often result from mixing sophisticated techniques from algebraic geometry, lattice theory, number theory, and dynamical systems. The topic has received significant impetus due to recent breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links with mirror symmetry and string theory. At the same time, the theory of irreducible holomorphic symplectic varieties, the higher dimensional analogues of K3 surfaces, has become a mainstream topic in algebraic geometry. Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.

Geometry and Physics

Jørgen Ellegaard Andersen,Andrew Dancer,Oscar García-Prada
Geometry and Physics Book PDF

Author : Jørgen Ellegaard Andersen,Andrew Dancer,Oscar García-Prada
Publisher : Oxford University Press, USA
Page : 392 pages
File Size : 43,8 Mb
Release : 2018
Category : Mathematics
ISBN : 9780198802013

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Geometry and Physics by Jørgen Ellegaard Andersen,Andrew Dancer,Oscar García-Prada Pdf

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

Women in Numbers Europe III

Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García
Women in Numbers Europe III Book PDF

Author : Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García
Publisher : Springer Nature
Page : 334 pages
File Size : 47,6 Mb
Release : 2022-02-01
Category : Mathematics
ISBN : 9783030777005

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Women in Numbers Europe III by Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García Pdf

This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of collaborations started at the 3rd edition of the Women in Numbers Europe (WINE) conference between senior and mid-level faculty, junior faculty, postdocs, and graduate students. The contents of this book should be of interest to graduate students and researchers in number theory.

Representations of Reductive Groups

Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid
Representations of Reductive Groups Book PDF

Author : Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid
Publisher : American Mathematical Soc.
Page : 450 pages
File Size : 54,9 Mb
Release : 2019-02-20
Category : Representations of algebras
ISBN : 9781470442842

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Representations of Reductive Groups by Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid Pdf

This volume contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, from June 11–16, 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of p -adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.

Intersection Homology & Perverse Sheaves

Laurenţiu G. Maxim
Intersection Homology Perverse Sheaves Book PDF

Author : Laurenţiu G. Maxim
Publisher : Springer Nature
Page : 270 pages
File Size : 40,5 Mb
Release : 2019-11-30
Category : Mathematics
ISBN : 9783030276447

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Intersection Homology & Perverse Sheaves by Laurenţiu G. Maxim Pdf

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature. Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications. Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.

Singular Intersection Homology

Greg Friedman
Singular Intersection Homology Book PDF

Author : Greg Friedman
Publisher : Cambridge University Press
Page : 823 pages
File Size : 48,7 Mb
Release : 2020-09-24
Category : Mathematics
ISBN : 9781107150744

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Singular Intersection Homology by Greg Friedman Pdf

The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.

The Corrigible and the Incorrigible

Greg Eghigian
The Corrigible and the Incorrigible Book PDF

Author : Greg Eghigian
Publisher : University of Michigan Press
Page : 302 pages
File Size : 54,9 Mb
Release : 2015-09-23
Category : History
ISBN : 9780472119653

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The Corrigible and the Incorrigible by Greg Eghigian Pdf

Explores how the social sciences and clinical medicine contributed to the understanding and treatment of offenders in three disparate political regimes

B-Model Gromov-Witten Theory

Emily Clader,Yongbin Ruan
B Model Gromov Witten Theory Book PDF

Author : Emily Clader,Yongbin Ruan
Publisher : Springer
Page : 625 pages
File Size : 45,7 Mb
Release : 2019-04-08
Category : Mathematics
ISBN : 9783319942209

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B-Model Gromov-Witten Theory by Emily Clader,Yongbin Ruan Pdf

This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Mirror symmetry is an active topic of research in both the mathematics and physics communities, but among mathematicians, the “A-model” half of the story remains much better-understood than the B-model. This book aims to address that imbalance. It begins with an overview of several methods by which mirrors have been constructed, and from there, gives a thorough account of the “BCOV” B-model theory from a physical perspective; this includes the appearance of such phenomena as the holomorphic anomaly equation and connections to number theory via modularity. Following a mathematical exposition of the subject of quantization, the remainder of the book is devoted to the B-model from a mathematician’s point-of-view, including such topics as polyvector fields and primitive forms, Givental’s ancestor potential, and integrable systems.

Britannica Book of the Year 2013

Encyclopaedia Britannica, Inc.
Britannica Book of the Year 2013 Book PDF

Author : Encyclopaedia Britannica, Inc.
Publisher : Encyclopaedia Britannica, Inc.
Page : 882 pages
File Size : 47,6 Mb
Release : 2013-03-01
Category : Juvenile Nonfiction
ISBN : 9781625131034

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Britannica Book of the Year 2013 by Encyclopaedia Britannica, Inc. Pdf

The Britannica Book of the Year 2013 provides a valuable viewpoint of the people and events that shaped the year and serves as a great reference source for the latest news on the ever changing populations, governments, and economies throughout the world. It is an accurate and comprehensive reference that you will reach for again and again.

Perspectives In Scalar Curvature (In 2 Volumes)

Mikhail L Gromov,H Blaine Lawson, Jr.
Perspectives In Scalar Curvature In 2 Volumes Book PDF

Author : Mikhail L Gromov,H Blaine Lawson, Jr.
Publisher : World Scientific
Page : 1635 pages
File Size : 44,6 Mb
Release : 2022-12-19
Category : Mathematics
ISBN : 9789811249372

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Perspectives In Scalar Curvature (In 2 Volumes) by Mikhail L Gromov,H Blaine Lawson, Jr. Pdf

Volume I contains a long article by Misha Gromov based on his many years of involvement in this subject. It came from lectures delivered in Spring 2019 at IHES. There is some background given. Many topics in the field are presented, and many open problems are discussed. One intriguing point here is the crucial role played by two seemingly unrelated analytic means: index theory of Dirac operators and geometric measure theory.Very recently there have been some real breakthroughs in the field. Volume I has several survey articles written by people who were responsible for these results.For Volume II, many people in areas of mathematics and physics, whose work is somehow related to scalar curvature, were asked to write about this in any way they pleased. This gives rise to a wonderful collection of articles, some with very broad and historical views, others which discussed specific fascinating subjects.These two books give a rich and powerful view of one of geometry's very appealing sides.