How Long to Read Moments, Monodromy, and Perversity. (AM-159)

How Long Does it Take to Read Moments, Monodromy, and Perversity. (AM-159)?

It takes the average reader 8 hours and 23 minutes to read Moments, Monodromy, and Perversity. (AM-159) by Nicholas M. Katz

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

Description

It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure" algebro-geometric families of character sums over finite fields (and of their associated L-functions). Roughly speaking, Deligne showed that any such family obeys a "generalized Sato-Tate law," and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the "geometric monodromy group" attached to that family. Up to now, nearly all techniques for determining geometric monodromy groups have relied, at least in part, on local information. In Moments, Monodromy, and Perversity, Nicholas Katz develops new techniques, which are resolutely global in nature. They are based on two vital ingredients, neither of which existed at the time of Deligne's original work on the subject. The first is the theory of perverse sheaves, pioneered by Goresky and MacPherson in the topological setting and then brilliantly transposed to algebraic geometry by Beilinson, Bernstein, Deligne, and Gabber. The second is Larsen's Alternative, which very nearly characterizes classical groups by their fourth moments. These new techniques, which are of great interest in their own right, are first developed and then used to calculate the geometric monodromy groups attached to some quite specific universal families of (L-functions attached to) character sums over finite fields.

How long is Moments, Monodromy, and Perversity. (AM-159)?

Moments, Monodromy, and Perversity. (AM-159) by Nicholas M. Katz is 488 pages long, and a total of 125,904 words.

This makes it 165% the length of the average book. It also has 154% more words than the average book.

How Long Does it Take to Read Moments, Monodromy, and Perversity. (AM-159) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 11 hours and 28 minutes to read Moments, Monodromy, and Perversity. (AM-159) aloud.

What Reading Level is Moments, Monodromy, and Perversity. (AM-159)?

Moments, Monodromy, and Perversity. (AM-159) is suitable for students ages 12 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 Moments, Monodromy, and Perversity. (AM-159)?

Moments, Monodromy, and Perversity. (AM-159) by Nicholas M. Katz is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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