Download or read book Maximal Functions Littlewood Paley Theory Riesz Transforms and Atomic Decomposition in the Multi Parameter Flag Setting written by Yongsheng Han and published by American Mathematical Society. This book was released on 2022-08-31 with total page 118 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 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.
Download or read book Hypergeometric Functions Over Finite Fields written by Jenny Fuselier and published by American Mathematical Society. This book was released on 2022-11-10 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Adiabatic Evolution and Shape Resonances written by Michael Hitrik and published by American Mathematical Society. This book was released on 2022-11-10 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book A Probabilistic Approach to Classical Solutions of the Master Equation for Large Population Equilibria written by Jean-François Chassagneux and published by American Mathematical Society. This book was released on 2022-11-10 with total page 136 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 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 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 Multiplicative Invariant Fields of Dimension leq 6 written by Akinari Hoshi and published by American Mathematical Society. This book was released on 2023-03-09 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
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 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 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 The mathscr P varphi 2 Model on de Sitter Space written by João C. A. Barata and published by American Mathematical Society. This book was released on 2023-01-18 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Categories and Representation Theory written by Hideto Asashiba and published by American Mathematical Society. This book was released on 2022-09-29 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a group; and develops the moderation level of categories, first proposed by Levy, to avoid the set theoretic paradox in category theory. The book is accessible to advanced undergraduate and graduate students who would like to study the representation theory of algebras, and it contains many exercises. It can be used as the textbook for an introductory course on the category theoretic approach with an emphasis on 2-categories, and as a reference for researchers in algebra interested in derived equivalences and covering theory.
Download or read book Function Spaces of Logarithmic Smoothness Embeddings and Characterizations written by Óscar Domínguez and published by American Mathematical Society. This book was released on 2023-02-13 with total page 180 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.