How Long to Read Representations of Finite Groups: Local Cohomology and Support

How Long Does it Take to Read Representations of Finite Groups: Local Cohomology and Support?

It takes the average reader 1 hour and 57 minutes to read Representations of Finite Groups: Local Cohomology and Support by David J. Benson

Assuming a reading speed of 250 words per minute. Learn more

Description

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 Quillen’s 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.

How long is Representations of Finite Groups: Local Cohomology and Support?

Representations of Finite Groups: Local Cohomology and Support by David J. Benson is 115 pages long, and a total of 29,325 words.

This makes it 39% the length of the average book. It also has 36% more words than the average book.

How Long Does it Take to Read Representations of Finite Groups: Local Cohomology and Support Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 40 minutes to read Representations of Finite Groups: Local Cohomology and Support aloud.

What Reading Level is Representations of Finite Groups: Local Cohomology and Support?

Representations of Finite Groups: Local Cohomology and Support is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Representations of Finite Groups: Local Cohomology and Support?

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