How Long to Read Geometric Invariant Theory

By Nolan R. Wallach

How Long Does it Take to Read Geometric Invariant Theory?

It takes the average reader 3 hours and 10 minutes to read Geometric Invariant Theory by Nolan R. Wallach

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

Description

Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in mathematics and physics with diverse backgrounds in algebraic and differential geometry. Throughout the book, examples are emphasized. Exercises add to the reader’s understanding of the material; most are enhanced with hints. The exposition is divided into two parts. The first part, ‘Background Theory’, is organized as a reference for the rest of the book. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature. Chapter 1 emphasizes the relationship between the Zariski topology and the canonical Hausdorff topology of an algebraic variety over the complex numbers. Chapter 2 develops the interaction between Lie groups and algebraic groups. Part 2, ‘Geometric Invariant Theory’ consists of three chapters (3–5). Chapter 3 centers on the Hilbert–Mumford theorem and contains a complete development of the Kempf–Ness theorem and Vindberg’s theory. Chapter 4 studies the orbit structure of a reductive algebraic group on a projective variety emphasizing Kostant’s theory. The final chapter studies the extension of classical invariant theory to products of classical groups emphasizing recent applications of the theory to physics.

How long is Geometric Invariant Theory?

Geometric Invariant Theory by Nolan R. Wallach is 190 pages long, and a total of 47,500 words.

This makes it 64% the length of the average book. It also has 58% more words than the average book.

How Long Does it Take to Read Geometric Invariant Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 19 minutes to read Geometric Invariant Theory aloud.

What Reading Level is Geometric Invariant Theory?

Geometric Invariant Theory 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 Geometric Invariant Theory?

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