Centenary Of The Borel Conjecture

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Centenary of the Borel Conjecture

Marion Scheepers,Ondřej Zindulka
Centenary of the Borel Conjecture Book PDF

Author : Marion Scheepers,Ondřej Zindulka
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 48,6 Mb
Release : 2020-09-04
Category : Education
ISBN : 9781470450991

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Centenary of the Borel Conjecture by Marion Scheepers,Ondřej Zindulka Pdf

Borel's Conjecture entered the mathematics arena in 1919 as an innocuous remark about sets of real numbers in the context of a new covering property introduced by Émile Borel. In the 100 years since, this conjecture has led to a remarkably rich adventure of discovery in mathematics, producing independent results and the discovery of countable support iterated forcing, developments in infinitary game theory, deep connections with infinitary Ramsey Theory, and significant impact on the study of topological groups and topological covering properties. The papers in this volume present a broad introduction to the frontiers of research that has been spurred on by Borel's 1919 conjecture and identify fundamental unanswered research problems in the field. Philosophers of science and historians of mathematics can glean from this collection some of the typical trends in the discovery, innovation, and development of mathematical theories.

Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model

Tyler J. Jarvis,Nathan Priddis
Singularities Mirror Symmetry and the Gauged Linear Sigma Model Book PDF

Author : Tyler J. Jarvis,Nathan Priddis
Publisher : American Mathematical Society
Page : 203 pages
File Size : 55,6 Mb
Release : 2021-02-26
Category : Mathematics
ISBN : 9781470457006

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Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model by Tyler J. Jarvis,Nathan Priddis Pdf

This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model. Most of the expository works are based on introductory lecture series given at the workshop and provide an approachable introduction for graduate students to some fundamental topics in mirror symmetry and singularity theory, including quasimaps, localization, the gauged linear sigma model (GLSM), virtual classes, cosection localization, $p$-fields, and Saito's primitive forms. These articles help readers bridge the gap from the standard graduate curriculum in algebraic geometry to exciting cutting-edge research in the field. The volume also contains several research articles by leading researchers, showcasing new developments in the field.

Abelian Varieties and Number Theory

Moshe Jarden,Tony Shaska
Abelian Varieties and Number Theory Book PDF

Author : Moshe Jarden,Tony Shaska
Publisher : American Mathematical Soc.
Page : 200 pages
File Size : 50,6 Mb
Release : 2021-05-03
Category : Education
ISBN : 9781470452070

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Abelian Varieties and Number Theory by Moshe Jarden,Tony Shaska Pdf

This book is a collection of articles on Abelian varieties and number theory dedicated to Gerhard Frey's 75th birthday. It contains original articles by experts in the area of arithmetic and algebraic geometry. The articles cover topics on Abelian varieties and finitely generated Galois groups, ranks of Abelian varieties and Mordell-Lang conjecture, Tate-Shafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to local-global principles over semi-global fields, Drinfeld modular varieties, representations of etale fundamental groups and specialization of algebraic cycles, Deuring's theory of constant reductions, etc. The book will be a valuable resource to graduate students and experts working on Abelian varieties and related areas.

Representation Theory and Beyond

Jan Šťovíček,Jan Trlifaj
Representation Theory and Beyond Book PDF

Author : Jan Šťovíček,Jan Trlifaj
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 47,5 Mb
Release : 2020-11-13
Category : Education
ISBN : 9781470451318

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Representation Theory and Beyond by Jan Šťovíček,Jan Trlifaj Pdf

This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties

Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez
Geometry at the Frontier Symmetries and Moduli Spaces of Algebraic Varieties Book PDF

Author : Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 42,6 Mb
Release : 2021-04-23
Category : Education
ISBN : 9781470453275

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Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez Pdf

Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Arithmetic, Geometry, Cryptography and Coding Theory

Stéphane Ballet,Gaetan Bisson,Irene Bouw
Arithmetic Geometry Cryptography and Coding Theory Book PDF

Author : Stéphane Ballet,Gaetan Bisson,Irene Bouw
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 43,6 Mb
Release : 2021-07-01
Category : Education
ISBN : 9781470454265

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Arithmetic, Geometry, Cryptography and Coding Theory by Stéphane Ballet,Gaetan Bisson,Irene Bouw Pdf

This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.

Differential Geometry and Global Analysis

Bang-Yen Chen,Nicholas D. Brubaker,Takashi Sakai,Bogdan D. Suceavă,Makiko Sumi Tanaka,Hiroshi Tamaru,Mihaela B. Vajiac
Differential Geometry and Global Analysis Book PDF

Author : Bang-Yen Chen,Nicholas D. Brubaker,Takashi Sakai,Bogdan D. Suceavă,Makiko Sumi Tanaka,Hiroshi Tamaru,Mihaela B. Vajiac
Publisher : American Mathematical Society
Page : 242 pages
File Size : 49,9 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9781470460150

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Differential Geometry and Global Analysis by Bang-Yen Chen,Nicholas D. Brubaker,Takashi Sakai,Bogdan D. Suceavă,Makiko Sumi Tanaka,Hiroshi Tamaru,Mihaela B. Vajiac Pdf

This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930–2017), held January 16, 2020, in Denver, Colorado. Tadashi Nagano was one of the great Japanese differential geometers, whose fundamental and seminal work still attracts much interest today. This volume is inspired by his work and his legacy and, while recalling historical results, presents recent developments in the geometry of symmetric spaces as well as generalizations of symmetric spaces; minimal surfaces and minimal submanifolds; totally geodesic submanifolds and their classification; Riemannian, affine, projective, and conformal connections; the $(M_{+}, M_{-})$ method and its applications; and maximal antipodal subsets. Additionally, the volume features recent achievements related to biharmonic and biconservative hypersurfaces in space forms, the geometry of Laplace operator on Riemannian manifolds, and Chen-Ricci inequalities for Riemannian maps, among other topics that could attract the interest of any scholar working in differential geometry and global analysis on manifolds.

Stochastic Processes and Functional Analysis

Randall J. Swift,Alan Krinik,Jennifer M. Switkes,Jason H. Park
Stochastic Processes and Functional Analysis Book PDF

Author : Randall J. Swift,Alan Krinik,Jennifer M. Switkes,Jason H. Park
Publisher : American Mathematical Society
Page : 248 pages
File Size : 47,6 Mb
Release : 2021-11-22
Category : Mathematics
ISBN : 9781470459826

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Stochastic Processes and Functional Analysis by Randall J. Swift,Alan Krinik,Jennifer M. Switkes,Jason H. Park Pdf

This volume contains the proceedings of the AMS Special Session on Celebrating M. M. Rao's Many Mathematical Contributions as he Turns 90 Years Old, held from November 9–10, 2019, at the University of California, Riverside, California. The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes and their applications. The volume also includes a biography of M. M. Rao and the list of his publications.

Quaternion Fusion Packets

Michael Aschbacher
Quaternion Fusion Packets Book PDF

Author : Michael Aschbacher
Publisher : American Mathematical Soc.
Page : 444 pages
File Size : 48,7 Mb
Release : 2021-04-01
Category : Education
ISBN : 9781470456658

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Quaternion Fusion Packets by Michael Aschbacher Pdf

Let p p be a prime and S S a finite p p-group. A p p-fusion system on S S is a category whose objects are the subgroups of S and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory. The book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program. The first part of the program aims to determine a large subclass of the class of simple 2-fusion systems, while part two seeks to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups.

The Golden Anniversary Celebration of the National Association of Mathematicians

Omayra Ortega,Emille Davie Lawrence,Edray Herber Goins
The Golden Anniversary Celebration of the National Association of Mathematicians Book PDF

Author : Omayra Ortega,Emille Davie Lawrence,Edray Herber Goins
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 55,6 Mb
Release : 2020-12-10
Category : Education
ISBN : 9781470451301

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The Golden Anniversary Celebration of the National Association of Mathematicians by Omayra Ortega,Emille Davie Lawrence,Edray Herber Goins Pdf

This volume is put together by the National Association of Mathematicians to commemorate its 50th anniversary. The articles in the book are based on lectures presented at several events at the Joint Mathematics Meeting held from January 16–19, 2019, in Baltimore, Maryland, including the Claytor-Woodard Lecture as well as the NAM David Harold Blackwell Lecture, which was held on August 2, 2019, in Cincinnati, Ohio.

Polytopes and Discrete Geometry

Gabriel Cunningham,Mark Mixer,Egon Schulte
Polytopes and Discrete Geometry Book PDF

Author : Gabriel Cunningham,Mark Mixer,Egon Schulte
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 42,7 Mb
Release : 2021-04-06
Category : Education
ISBN : 9781470448974

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Polytopes and Discrete Geometry by Gabriel Cunningham,Mark Mixer,Egon Schulte Pdf

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.

Hopf Algebras, Tensor Categories and Related Topics

Nicolás Andruskiewitsch,Gongxiang Liu,Susan Montgomery,Yinhuo Zhang
Hopf Algebras Tensor Categories and Related Topics Book PDF

Author : Nicolás Andruskiewitsch,Gongxiang Liu,Susan Montgomery,Yinhuo Zhang
Publisher : American Mathematical Soc.
Page : 359 pages
File Size : 53,9 Mb
Release : 2021-07-06
Category : Education
ISBN : 9781470456245

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Hopf Algebras, Tensor Categories and Related Topics by Nicolás Andruskiewitsch,Gongxiang Liu,Susan Montgomery,Yinhuo Zhang Pdf

The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras. Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.

Representations of Algebras, Geometry and Physics

Kiyoshi Igusa,Alex Martsinkovsky,Gordana Todorov
Representations of Algebras Geometry and Physics Book PDF

Author : Kiyoshi Igusa,Alex Martsinkovsky,Gordana Todorov
Publisher : American Mathematical Soc.
Page : 241 pages
File Size : 42,8 Mb
Release : 2021-05-17
Category : Education
ISBN : 9781470452308

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Representations of Algebras, Geometry and Physics by Kiyoshi Igusa,Alex Martsinkovsky,Gordana Todorov Pdf

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.

Mexican Mathematicians in the World

Fernando Galaz-García,Cecilia González-Tokman,Juan Carlos Pardo Millán
Mexican Mathematicians in the World Book PDF

Author : Fernando Galaz-García,Cecilia González-Tokman,Juan Carlos Pardo Millán
Publisher : American Mathematical Society
Page : 319 pages
File Size : 51,9 Mb
Release : 2021-11-22
Category : Mathematics
ISBN : 9781470465360

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Mexican Mathematicians in the World by Fernando Galaz-García,Cecilia González-Tokman,Juan Carlos Pardo Millán Pdf

Articles in this volume are based on presentations given at the IV Meeting of Mexican Mathematicians Abroad (IV Reunión de Matemáticos Mexicanos en el Mundo), held from June 10–15, 2018, at Casa Matemática Oaxaca (CMO), Mexico. This meeting was the fourth in a series of ongoing biannual meetings bringing together Mexican mathematicians working abroad with their peers in Mexico. This book features surveys and research articles from five broad research areas: algebra, analysis, combinatorics, geometry, and topology. Their topics range from general relativity and mathematical physics to interactions between logic and ergodic theory. Several articles provide a panoramic view of the fields and problems on which the authors are currently working on, showcasing diverse research lines complementary to those currently pursued in Mexico. The research-oriented manuscripts provide either alternative approaches to well-known problems or new advances in active research fields.

Identification and Control: Some New Challenges

Kaïs Ammari,Stéphane Gerbi
Identification and Control Some New Challenges Book PDF

Author : Kaïs Ammari,Stéphane Gerbi
Publisher : American Mathematical Soc.
Page : 185 pages
File Size : 49,7 Mb
Release : 2020-11-12
Category : Education
ISBN : 9781470455477

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Identification and Control: Some New Challenges by Kaïs Ammari,Stéphane Gerbi Pdf

This volume contains the proceedings of the Summer School on Identification and Control: some challenges, held from June 18–20, 2019, in Monastir, Tunisia. The articles cover new developments in control theory and inverse problems. First, the problem of Calderón, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, is studied. Second, an introduction to the mathematical analysis of inverse spectral problems of Borg-Levinson type is presented. Third, the control of multi-component systems of wave equations, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand) and indirect control (using a single control for a system consisting of two components), is presented. Last, the study of the cost of control for parabolic systems, the finite time stabilization of hyperbolic control systems by boundary feedback laws, and image reconstruction by data assimilation are addressed.