Title
Representations of Finite Groups: Local Cohomology and Support (Oberwolfach Seminars, 43),Used
Delivery time: 8-12 business days (International)
The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory. The unifying theme is a notion of support which provides a geometric approach for studying various algebraic structures. The prototype for this has been Daniel Quillens description of the algebraic variety corresponding to the cohomology ring of a finite group, based on which Jon Carlson introduced support varieties for modular representations. This has made it possible to apply methods of algebraic geometry to obtain representation theoretic information. Their work has inspired the development of analogous theories in various contexts, notably modules over commutative complete intersection rings and over cocommutative Hopf algebras. One of the threads in this development has been the classification of thick or localizing subcategories of various triangulated categories of representations. This story started with Mike Hopkins classification of thick subcategories of the perfect complexes over a commutative Noetherian ring, followed by a classification of localizing subcategories of its full derived category, due to Amnon Neeman. The authors have been developing an approach to address such classification problems, based on a construction of local cohomology functors and support for triangulated categories with ring of operators. The book serves as an introduction to this circle of ideas.
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the main focus of the book 'Representations of Finite Groups: Local Cohomology and Support'? A: The book focuses on a recent solution to a long-standing problem in the stable module category of finite group representations, drawing from commutative algebra and cohomology.
- Q: Who are the authors of this book? A: The book is authored by David J. Benson.
- Q: What is the publication date of 'Representations of Finite Groups: Local Cohomology and Support'? A: The book was published on December 17, 2011.
- Q: What is the format of the book? A: The book is available in paperback format.
- Q: How many pages does this book contain? A: The book contains a total of 115 pages.
- Q: Is this book suitable for beginners in the field? A: Yes, the book serves as an introduction to concepts related to local cohomology and support in triangulated categories.
- Q: What topics are covered in this book? A: Topics include stable module categories, local cohomology functors, support varieties, and their applications in representation theory.
- Q: Does the book include practical examples or applications? A: While the book is theoretical, it discusses applications of its concepts in classification problems in representation theory.
- Q: What edition is this book? A: This is the 2012 edition of the book.
- Q: In what category is this book listed? A: The book is categorized under 'Abstract'.