Algebraic Cycles Sheaves Shtukas And Moduli

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Algebraic Cycles Sheaves Shtukas And Moduli

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Author : Piotr Pragacz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-12

Algebraic Cycles Sheaves Shtukas And Moduli written by Piotr Pragacz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-12 with Mathematics categories.

Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.

Moduli Spaces And Vector Bundles

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Author : Leticia Brambila-Paz
language : en
Publisher: Cambridge University Press
Release Date : 2009-05-21

Moduli Spaces And Vector Bundles written by Leticia Brambila-Paz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-21 with Mathematics categories.

Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from its inception and has made many seminal contributions to our understanding of moduli spaces of stable bundles. This volume has been assembled in tribute to Professor Newstead and his contribution to algebraic geometry. Some of the subject's leading experts cover foundational material, while the survey and research papers focus on topics at the forefront of the field. This volume is suitable for both graduate students and more experienced researchers.

Contributions To Algebraic Geometry

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Author : Piotr Pragacz
language : en
Publisher: European Mathematical Society
Release Date : 2012

Contributions To Algebraic Geometry written by Piotr Pragacz and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.

Homological Mirror Symmetry And Tropical Geometry

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Author : Ricardo Castano-Bernard
language : en
Publisher: Springer
Release Date : 2014-10-07

Homological Mirror Symmetry And Tropical Geometry written by Ricardo Castano-Bernard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-07 with Mathematics categories.

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the “tropical” approach to Gromov-Witten theory and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as “degenerations” of the corresponding algebro-geometric objects.

Mathematics And Philosophy

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Author : Daniel Parrochia
language : en
Publisher: John Wiley & Sons
Release Date : 2018-07-24

Mathematics And Philosophy written by Daniel Parrochia and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-24 with Philosophy categories.

This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).

Arrangements Local Systems And Singularities

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Author : Fouad El Zein
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-14

Arrangements Local Systems And Singularities written by Fouad El Zein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-14 with Mathematics categories.

This volume comprises the Lecture Notes of the CIMPA/TUBITAK Summer School Arrangements, Local systems and Singularities held at Galatasaray University, Istanbul during June 2007. The volume is intended for a large audience in pure mathematics, including researchers and graduate students working in algebraic geometry, singularity theory, topology and related fields. The reader will find a variety of open problems involving arrangements, local systems and singularities proposed by the lecturers at the end of the school.

Geometric Invariant Theory And Decorated Principal Bundles

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Author : Alexander H. W. Schmitt
language : en
Publisher: European Mathematical Society
Release Date : 2008

Geometric Invariant Theory And Decorated Principal Bundles written by Alexander H. W. Schmitt and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

The book starts with an introduction to Geometric Invariant Theory (GIT). The fundamental results of Hilbert and Mumford are exposed as well as more recent topics such as the instability flag, the finiteness of the number of quotients, and the variation of quotients. In the second part, GIT is applied to solve the classification problem of decorated principal bundles on a compact Riemann surface. The solution is a quasi-projective moduli scheme which parameterizes those objects that satisfy a semistability condition originating from gauge theory. The moduli space is equipped with a generalized Hitchin map. Via the universal Kobayashi-Hitchin correspondence, these moduli spaces are related to moduli spaces of solutions of certain vortex type equations. Potential applications include the study of representation spaces of the fundamental group of compact Riemann surfaces. The book concludes with a brief discussion of generalizations of these findings to higher dimensional base varieties, positive characteristic, and parabolic bundles. The text is fairly self-contained (e.g., the necessary background from the theory of principal bundles is included) and features numerous examples and exercises. It addresses students and researchers with a working knowledge of elementary algebraic geometry.

Annales Polonici Mathematici

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Author :
language : en
Publisher:
Release Date : 2010

Annales Polonici Mathematici written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

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Author :
language : en
Publisher:
Release Date : 2012

written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Philosophy categories.

Math Matiques Et Philosophie

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Author : Daniel Parrochia
language : fr
Publisher: ISTE Group
Release Date : 2017-09-01

Math Matiques Et Philosophie written by Daniel Parrochia and has been published by ISTE Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-01 with Mathematics categories.

Les mathématiques n’ont jamais cessé de fournir au philosophe des occasions, des outils ainsi que des instruments pour penser, et ce, quels que soient les progrès et les révolutions qu’elles aient connues. Mathématiques et philosophie retrace les rapports riches et complexes qu’entretiennent ces deux disciplines de l’Antiquité (Platon) à nos jours (Grothendieck), en passant par le Moyen Age (de Cues), les XVIIe (Descartes, Pascal, Leibniz), XIXe (Hegel, Comte, Wronski, Clifford) et XXe siècles (Husserl, Whitehead, Lautman, Thom). Il examine l’impact des mathématiques sur les représentations philosophiques en Occident au cours du temps, afin d’en dégager des enseignements pour l’époque présente. Cet ouvrage répond à des problématiques essentielles : comprendre ce que le philosophe peut aujourd’hui encore tirer des mathématiques et identifier la mesure dans laquelle cette science peut aider les philosophes à bâtir une nouvelle vision du monde.