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Author: Pieter Belmans
Publisher: Cambridge University Press
ISBN: 1009063286
Category : Mathematics
Languages : en
Pages : 308
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Book Description
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne–Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.
Author: Pieter Belmans
Publisher: Cambridge University Press
ISBN: 1009063286
Category : Mathematics
Languages : en
Pages : 308
Get Book
Book Description
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne–Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.
Author: Leticia Brambila
Publisher: Cambridge University Press
ISBN: 1107636388
Category : Mathematics
Languages : en
Pages : 347
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Book Description
A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.
Author: Peter Woit
Publisher: Springer
ISBN: 3319646125
Category : Science
Languages : en
Pages : 668
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Book Description
This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.
Author: Silvio Levy
Publisher: Cambridge University Press
ISBN: 9780521004190
Category : Mathematics
Languages : en
Pages : 350
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Book Description
Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.
Author: Kenneth Oppel
Publisher: Knopf Books for Young Readers
ISBN: 1524772836
Category : Juvenile Fiction
Languages : en
Pages : 272
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Book Description
"Astonishing"—The New York Times Book Review A brilliantly funny, highly illustrated story about how a little ink splot changes a family forever. Perfect for those who love Hoot, Holes, or Frindle! The Rylance family is stuck. Dad's got writer's block. Ethan promised to illustrate a group project at school--even though he can't draw. Sarah's still pining for a puppy. And they all miss Mom. Enter Inkling. Inkling begins life in Mr. Rylance's sketchbook. But one night the ink of his drawings runs together--and then leaps off the page! This small burst of creativity is about to change everything. Ethan finds him first. Inkling has absorbed a couple chapters of his math book--not good--and the story he's supposed to be illustrating for school--also not good. But Inkling's also started drawing the pictures to go with the story--which is amazing! It's just the help Ethan was looking for! Inkling helps the rest of the family too--for Sarah he's a puppy. And for Dad he's a spark of ideas for a new graphic novel. It's exactly what they all want. It's not until Inkling goes missing that this family has to face the larger questions of what they--and Inkling--truly need. • A New York Times Notable Book • A New York Public Library Best Book of the Year -- top ten selection • "A true-to-life family, some can't-put-it-down excitement, a few deep questions, and more than a little bit of magic. This book is everything, and I loved every page." —Rebecca Stead, Newbery Medalist for When You Reach Me
Author: Douglas C. Ravenel
Publisher: American Mathematical Society
ISBN: 1470472937
Category : Mathematics
Languages : en
Pages : 417
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Book Description
Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
Author: Joe Harris
Publisher: Springer Science & Business Media
ISBN: 0387227377
Category : Mathematics
Languages : en
Pages : 381
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Book Description
A guide to a rich and fascinating subject: algebraic curves and how they vary in families. Providing a broad but compact overview of the field, this book is accessible to readers with a modest background in algebraic geometry. It develops many techniques, including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory, with the focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, illustrates typical applications with the proofs of the Brill-Noether and Gieseker-Petri theorems via limit linear series, and surveys the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important topics which are not covered in detail.
Author: Bao Phi
Publisher: Coffee House Press
ISBN: 1566894816
Category : Poetry
Languages : en
Pages : 142
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Book Description
Thousand Star Hotel confronts the silence around racism, police brutality, and the invisibility of the Asian American urban poor. From "with thanks to Sahra Nguyen for the refugee style slogan": They give the kids candy to bet. My daughter loses the first four rounds, she's a quiet wire as they take her candy away, piece by piece. When she finally wins, I ask if she wants to play again. No! she shouts, grabbing her candy, I want to go home! True refugee style: take everything you got and run with it. Bao Phi is a National Poetry Slam finalist.
Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
ISBN: 9780821837153
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
Author: Benson Farb
Publisher: American Mathematical Soc.
ISBN: 0821838385
Category : Mathematics
Languages : en
Pages : 384
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Book Description
The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.
