Homotopical Algebraic Geometry II: Geometric Stacks and Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Homotopical Algebraic Geometry II: Geometric Stacks and Applications PDF full book. Access full book title Homotopical Algebraic Geometry II: Geometric Stacks and Applications by Bertrand Toën. Download full books in PDF and EPUB format.
Author: Bertrand Toën
Publisher: American Mathematical Soc.
ISBN: 0821840991
Category : Mathematics
Languages : en
Pages : 242
Get Book Here
Book Description
This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, étale and smooth morphisms, flat and projective modules, etc. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category $C$, and prove that this notion satisfies the expected properties.
Author: Bertrand Toën
Publisher: American Mathematical Soc.
ISBN: 0821840991
Category : Mathematics
Languages : en
Pages : 242
Get Book Here
Book Description
This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, étale and smooth morphisms, flat and projective modules, etc. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category $C$, and prove that this notion satisfies the expected properties.
Author: Bertrand Toën
Publisher:
ISBN: 9781470405083
Category : Algebra, Homological
Languages : en
Pages : 242
Get Book Here
Book Description
The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category.
Author: Ieke Moerdijk
Publisher: Springer Science & Business Media
ISBN: 3034800525
Category : Mathematics
Languages : en
Pages : 186
Get Book Here
Book Description
"This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based on lectures delivered at the Centre de Recerca Matemàtica in February 2008, as part of a special year on Homotopy Theory and Higher Categories"--Foreword
Author: Denis-Charles Cisinski
Publisher: Cambridge University Press
ISBN: 1108473202
Category : Mathematics
Languages : en
Pages : 449
Get Book Here
Book Description
At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.
Author: Renaud Gauthier
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311133421X
Category : Mathematics
Languages : en
Pages : 489
Get Book Here
Book Description
Author: Kelli Francis-Staite
Publisher: Cambridge University Press
ISBN: 1009400169
Category : Mathematics
Languages : en
Pages : 223
Get Book Here
Book Description
Crossing the boundary between differential and algebraic geometry in order to study singular spaces, this book introduces 'C∞-schemes with corners'.
Author: Frank Neumann
Publisher: Springer Nature
ISBN: 3030789772
Category : Mathematics
Languages : en
Pages : 223
Get Book Here
Book Description
This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry. The contributions to this volume are based on original lectures by leading researchers at the LMS-CMI Research School on ‘Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects’ and the Nelder Fellow Lecturer Series, which both took place at Imperial College London in the summer of 2018. The contribution by Brazelton, based on the lectures by Wickelgren, provides an introduction to arithmetic enumerative geometry, the notes of Cisinski present motivic sheaves and new cohomological methods for intersection theory, and Schlank’s contribution gives an overview of the use of étale homotopy theory for obstructions to the existence of rational points on algebraic varieties. Finally, the article by Asok and Østvær, based in part on the Nelder Fellow lecture series by Østvær, gives a survey of the interplay between motivic homotopy theory and affine algebraic geometry, with a focus on contractible algebraic varieties. Now a major trend in arithmetic geometry, this volume offers a detailed guide to the fascinating circle of recent applications of homotopy theory to number theory. It will be invaluable to research students entering the field, as well as postdoctoral and more established researchers.
Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 1108848214
Category : Mathematics
Languages : en
Pages : 602
Get Book Here
Book Description
After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. The chapters in this volume cover a broad range of topics in mathematics, including diffeologies, synthetic differential geometry, microlocal analysis, topos theory, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It is addressed primarily to mathematicians and mathematical physicists, but also to historians and philosophers of these disciplines.
Author: Noé Bárcenas
Publisher: American Mathematical Soc.
ISBN: 1470421925
Category : Mathematics
Languages : en
Pages : 256
Get Book Here
Book Description
This volume contains the proceedings of the First Workshop “Matemáticos Mexicanos Jóvenes en el Mundo”, held from August 22–24, 2012, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. - See more at: http://bookstore.ams.org/conm-657/#sthash.cUjwTcvX.dpuf This volume contains the proceedings of the First Workshop "Matemáticos Mexicanos Jóvenes en el Mundo", held from August 22-24, 2012, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. One of the main goals of this meeting was to present different research directions being pursued by young Mexican mathematicians based in other countries, such as Brazil, Canada, Colombia, Estonia, Germany, Spain and the United States, showcasing research lines currently underrepresented in Mexico. Featured are survey and research articles in six areas: algebra, analysis, applied mathematics, geometry, probability and topology. Their topics range from current developments related to well-known open problems to novel interactions between pure mathematics and computer science. Most of the articles provide a panoramic view of the fields and problems the authors work on, making the book accessible to advanced graduate students and researchers in mathematics from different fields. This book is published in cooperation with Sociedad Matemática Mexicana.
Author: Richard Wentworth
Publisher: World Scientific
ISBN: 9813229101
Category : Mathematics
Languages : en
Pages : 412
Get Book Here
Book Description
In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.
