Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 254
Book Description
A Toolbox to Compute the Cohomology of Arithmetic Groups in Case of the Group Sp 2 (Z)
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 254
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 254
Book Description
Cohomology of Arithmetic Groups and Automorphic Forms
Author: Jean-Pierre Labesse
Publisher: Springer
ISBN: 3540468765
Category : Mathematics
Languages : en
Pages : 358
Book Description
Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.
Publisher: Springer
ISBN: 3540468765
Category : Mathematics
Languages : en
Pages : 358
Book Description
Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.
Cohomology of Arithmetic Groups and Automorphic Forms
Author: Jean-Pierre Labesse
Publisher:
ISBN: 9783662204887
Category :
Languages : en
Pages : 368
Book Description
Publisher:
ISBN: 9783662204887
Category :
Languages : en
Pages : 368
Book Description
Gröbner Bases and the Computation of Group Cohomology
Author: David J. Green
Publisher: Springer Science & Business Media
ISBN: 9783540203391
Category : Mathematics
Languages : en
Pages : 156
Book Description
This monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson’s minimal resolutions approach to cohomology computations.
Publisher: Springer Science & Business Media
ISBN: 9783540203391
Category : Mathematics
Languages : en
Pages : 156
Book Description
This monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson’s minimal resolutions approach to cohomology computations.
Cohomology of groups
Author:
Publisher: Academic Press
ISBN: 0080873464
Category : Mathematics
Languages : en
Pages : 289
Book Description
Cohomology of Groups
Publisher: Academic Press
ISBN: 0080873464
Category : Mathematics
Languages : en
Pages : 289
Book Description
Cohomology of Groups
Weighted Cohomology of Arithmetic Groups
Author: Arvind N. Nair
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
Book Description
Cohomology of Finite Groups
Author: Alejandro Adem
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 350
Book Description
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 350
Book Description
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.
Combinatorial Algebraic Topology
Author: Dimitry Kozlov
Publisher: Springer Science & Business Media
ISBN: 9783540730514
Category : Mathematics
Languages : en
Pages : 416
Book Description
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
Publisher: Springer Science & Business Media
ISBN: 9783540730514
Category : Mathematics
Languages : en
Pages : 416
Book Description
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
The Steinberg Module and the Top Cohomology of Arithmetic Groups
Author: Mark Stephen Reeder
Publisher:
ISBN:
Category :
Languages : en
Pages : 188
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 188
Book Description
Persistence Theory: From Quiver Representations to Data Analysis
Author: Steve Y. Oudot
Publisher: American Mathematical Soc.
ISBN: 1470434431
Category : Mathematics
Languages : en
Pages : 229
Book Description
Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.
Publisher: American Mathematical Soc.
ISBN: 1470434431
Category : Mathematics
Languages : en
Pages : 229
Book Description
Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.