Download or read book Mackey Profunctors written by D. Kaledin and published by American Mathematical Society. This book was released on 2022-11-10 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Mackey Profunctors written by Dmitri Kaledin and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algebraic Geometry written by Michael Artin and published by American Mathematical Society. This book was released on 2022-09-21 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. So it is a suitable text for a beginning graduate course or an advanced undergraduate course. The book begins with a study of plane algebraic curves, then introduces affine and projective varieties, going on to dimension and constructibility. $mathcal{O}$-modules (quasicoherent sheaves) are defined without reference to sheaf theory, and their cohomology is defined axiomatically. The Riemann-Roch Theorem for curves is proved using projection to the projective line. Some of the points that aren't always treated in beginning courses are Hensel's Lemma, Chevalley's Finiteness Theorem, and the Birkhoff-Grothendieck Theorem. The book contains extensive discussions of finite group actions, lines in $mathbb{P}^3$, and double planes, and it ends with applications of the Riemann-Roch Theorem.

Download or read book Planar Algebras in Braided Tensor Categories written by André Gil Henriques and published by American Mathematical Society. This book was released on 2023-02-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book The Regularity of the Linear Drift in Negatively Curved Spaces written by François Ledrappier and published by American Mathematical Society. This book was released on 2023-01-18 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Asymptotic Spreading for General Heterogeneous Fisher KPP Type Equations written by Henri Berestycki and published by American Mathematical Society. This book was released on 2022-11-10 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows written by Luchezar Stoyanov and published by American Mathematical Society. This book was released on 2023-03-09 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models written by Sebastian Casalaina-Martin and published by American Mathematical Society. This book was released on 2023-02-13 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Multi Parameter Hardy Spaces Theory and Endpoint Estimates for Multi Parameter Singular Integrals written by Guozhen Lu and published by American Mathematical Society. This book was released on 2023-01-18 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Twenty Four Hours of Local Cohomology written by Srikanth B. Iyengar and published by American Mathematical Society. This book was released on 2022-07-19 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Gröbner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.

Download or read book Weight Multiplicities and Young Tableaux Through Affine Crystals written by Jang Soo Kim and published by American Mathematical Society. This book was released on 2023-03-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Finite Fields with Applications to Combinatorics written by Kannan Soundararajan and published by American Mathematical Society. This book was released on 2022-11-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science.

Download or read book On Singular Vortex Patches I Well Posedness Issues written by Tarek M. Elgindi and published by American Mathematical Society. This book was released on 2023-03-09 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Inflectionary Invariants for Isolated Complete Intersection Curve Singularities written by Anand P. Patel and published by American Mathematical Society. This book was released on 2023-02-13 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Higher Ramanujan Equations and Periods of Abelian Varieties written by Tiago J. Fonseca and published by American Mathematical Society. This book was released on 2023-01-18 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Sage for Undergraduates written by Gregory V. Bard and published by American Mathematical Society. This book was released on 2022-09-26 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the open-source and free alternative to expensive software like Maple™, Mathematica®, and MATLAB®, Sage offers anyone with a web browser the ability to use cutting-edge mathematical software and share the results with others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students during Calculus II, Multivariate Calculus, Differential Equations, Linear Algebra, Math Modeling, or Operations Research. This book assumes no background in programming, but the reader who finishes the book will have learned about 60 percent of a first semester computer science course, including much of the Python programming language. The audience is not only math majors, but also physics, engineering, environmental science, finance, chemistry, economics, data science, and computer science majors. Many of the book's examples are drawn from those fields. Filled with “challenges” for the students to test their progress, the book is also ideal for self-study. What's New in the Second Edition: In 2019, Sage transitioned from Python 2 to Python 3, which changed the syntax in several significant ways, including for the print command. All the examples in this book have been rewritten to be compatible with Python 3. Moreover, every code block longer than four lines has been placed in an archive on the book's website http://www.sage-for-undergraduates.org that is maintained by the author, so that the students won't have to retype the code! Other additions include… The number of “challenges” for the students to test their own progress in learning Sage has roughly doubled, which will be a great boon for self-study.There's approximately 150 pages of new content, including: New projects on Leontief Input-Output Analysis and on Environmental ScienceNew sections on Complex Numbers and Complex Analysis, on SageTex, and on solving problems via Monte-Carlo Simulations.The first three sections of Chapter 1 have been completely rewritten to give absolute beginners a smoother transition into Sage.

Download or read book The Second Moment Theory of Families of L Functions The Case of Twisted Hecke L Functions written by Valentin Blomer and published by American Mathematical Society. This book was released on 2023-02-13 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.