Author: W. MuellerPublisher:
ISBN:
Category :
Languages : en
Pages : 246
Book Description
L Hoch 2 -index of Elliptic Operators on Manifolds with Cusps of Rank One
Author: W. MuellerL2-index of Elliptic Operators on Manifolds with Cusps of Rank One
Author: Werner MüllerPublisher:
ISBN:
Category : Elliptic operators
Languages : en
Pages : 260
Book Description
L_1hn2-index of elliptic operators on manifolds with cusps of rank one
Author: Werner MüllerConjectures in Arithmetic Algebraic Geometry
Author: Wilfred W. J. HulsbergenPublisher: Springer Science & Business Media
ISBN: 3663095053
Category : Technology & Engineering
Languages : en
Pages : 247
Book Description
In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fields. Roughly speaking these special values are determinants of higher regulator maps relating the higher algebraic K-groups of the variety to its cohomology. In this respect, higher algebraic K-theory is believed to provide a universal, motivic cohomology theory and the regulator maps are determined by Chern characters from higher algebraic K-theory to any other suitable cohomology theory. Also, Beilinson stated a generalized Hodge conjecture. This book provides an introduction to and a survey of Beilinson's conjectures and an introduction to Jannsen's work with respect to the Hodge and Tate conjectures. It addresses mathematicians with some knowledge of algebraic number theory, elliptic curves and algebraic K-theory.
Algebra for Applications
Author: Arkadii SlinkoPublisher: Springer
ISBN: 3319219510
Category : Mathematics
Languages : en
Pages : 336
Book Description
This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study.