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Motivic Homotopy Theory And Refined Enumerative Geometry


Motivic Homotopy Theory And Refined Enumerative Geometry
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Motivic Homotopy Theory And Refined Enumerative Geometry


Motivic Homotopy Theory And Refined Enumerative Geometry
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Author : Federico Binda
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-03-09

Motivic Homotopy Theory And Refined Enumerative Geometry written by Federico Binda and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-09 with Education categories.


This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14–18, 2018, at the Universität Duisburg-Essen, Essen, Germany. It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.



Motivic Homotopy Theory And Refined Enumerative Geometry


Motivic Homotopy Theory And Refined Enumerative Geometry
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Author : Federico Binda
language : en
Publisher:
Release Date : 2020

Motivic Homotopy Theory And Refined Enumerative Geometry written by Federico Binda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Geometry, Enumerative categories.


This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14-18, 2018, at the Universität Duisburg-Essen, Essen, Germany. It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.



Homotopy Theory And Arithmetic Geometry Motivic And Diophantine Aspects


Homotopy Theory And Arithmetic Geometry Motivic And Diophantine Aspects
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Author : Frank Neumann
language : en
Publisher: Springer Nature
Release Date : 2021-09-29

Homotopy Theory And Arithmetic Geometry Motivic And Diophantine Aspects written by Frank Neumann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-29 with Mathematics categories.


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.



Perspectives On Four Decades Of Algebraic Geometry Volume 1


Perspectives On Four Decades Of Algebraic Geometry Volume 1
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Author : Alberto Albano
language : en
Publisher: Springer Nature
Release Date : 2025-01-22

Perspectives On Four Decades Of Algebraic Geometry Volume 1 written by Alberto Albano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-22 with Mathematics categories.


The first of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research. With chapters written by established leaders in the field as well as younger researchers, readers will gain a wide-ranging perspective of the area. The volume also commemorates the significant talent and contributions of Alberto Collino, whose scientific accomplishments helped shape the themes and topics covered. Perspectives on Four Decades of Algebraic Geometry, Volume 1 will be a valuable resource for those interested in the ways algebraic geometry has expanded over the years and continues to grow. "Quadratic Counts of Twisted Cubics" is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.



Trends In Set Theory


Trends In Set Theory
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Author : Samuel Coskey
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-06-18

Trends In Set Theory written by Samuel Coskey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-18 with Education categories.


This volume contains the proceedings of Simon Fest, held in honor of Simon Thomas's 60th birthday, from September 15–17, 2017, at Rutgers University, Piscataway, New Jersey. The topics covered showcase recent advances from a variety of main areas of set theory, including descriptive set theory, forcing, and inner model theory, in addition to several applications of set theory, including ergodic theory, combinatorics, and model theory.



K Theory In Algebra Analysis And Topology


K Theory In Algebra Analysis And Topology
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Author : Guillermo Cortiñas
language : en
Publisher: American Mathematical Soc.
Release Date : 2020

K Theory In Algebra Analysis And Topology written by Guillermo Cortiñas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Education categories.


This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16–20, 2018, in La Plata, Argentina, and the workshop was held from July 23–27, 2018, in Buenos Aires, Argentina. The volume showcases current developments in K-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators, noncommutative motives, the classification of C∗-algebras via Kasparov's K-theory, the comparison between full and reduced C∗-crossed products, and a proof of Bott periodicity using almost commuting matrices.



75 Years Of Mathematics Of Computation


75 Years Of Mathematics Of Computation
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Author : Susanne C. Brenner
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-29

75 Years Of Mathematics Of Computation written by Susanne C. Brenner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-29 with Education categories.


The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.



Representations Of Algebras Geometry And Physics


Representations Of Algebras Geometry And Physics
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Author : Kiyoshi Igusa
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-05-17

Representations Of Algebras Geometry And Physics written by Kiyoshi Igusa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-17 with Education categories.


This volume contains selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held April 25–30, 2018, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Reflecting recent developments in modern representation theory of algebras, the selected topics include an introduction to a new class of quiver algebras on surfaces, called “geodesic ghor algebras”, a detailed presentation of Feynman categories from a representation-theoretic viewpoint, connections between representations of quivers and the structure theory of Coxeter groups, powerful new applications of approximable triangulated categories, new results on the heart of a t t-structure, and an introduction to methods of constructive category theory.



Polytopes And Discrete Geometry


Polytopes And Discrete Geometry
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Author : Gabriel Cunningham
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-04-06

Polytopes And Discrete Geometry written by Gabriel Cunningham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-06 with Education categories.


The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string C C-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas. Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string C C-groups; hypertopes; and graph coloring.



Advances In Harmonic Analysis And Partial Differential Equations


Advances In Harmonic Analysis And Partial Differential Equations
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Author : Donatella Danielli
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-04-09

Advances In Harmonic Analysis And Partial Differential Equations written by Donatella Danielli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-09 with Education categories.


This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Partial Differential Equations, held from April 21–22, 2018, at Northeastern University, Boston, Massachusetts. The book features a series of recent developments at the interface between harmonic analysis and partial differential equations and is aimed toward the theoretical and applied communities of researchers working in real, complex, and harmonic analysis, partial differential equations, and their applications. The topics covered belong to the general areas of the theory of function spaces, partial differential equations of elliptic, parabolic, and dissipative types, geometric optics, free boundary problems, and ergodic theory, and the emphasis is on a host of new concepts, methods, and results.