How Long to Read Rigid Local Systems. (AM-139), Volume 139

How Long Does it Take to Read Rigid Local Systems. (AM-139), Volume 139?

It takes the average reader 3 hours and 46 minutes to read Rigid Local Systems. (AM-139), Volume 139 by Nicholas M. Katz

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

Description

Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise. His first application was to study the classical Gauss hypergeometric function, which he did by studying rank-two local systems on P1- {0,1,infinity}. His investigation was successful, largely because any such (irreducible) local system is rigid in the sense that it is globally determined as soon as one knows separately each of its local monodromies. It became clear that luck played a role in Riemann's success: most local systems are not rigid. Yet many classical functions are solutions of differential equations whose local systems are rigid, including both of the standard nth order generalizations of the hypergeometric function, n F n-1's, and the Pochhammer hypergeometric functions. This book is devoted to constructing all (irreducible) rigid local systems on P1-{a finite set of points} and recognizing which collections of independently given local monodromies arise as the local monodromies of irreducible rigid local systems. Although the problems addressed here go back to Riemann, and seem to be problems in complex analysis, their solutions depend essentially on a great deal of very recent arithmetic algebraic geometry, including Grothendieck's etale cohomology theory, Deligne's proof of his far-reaching generalization of the original Weil Conjectures, the theory of perverse sheaves, and Laumon's work on the l-adic Fourier Transform.

How long is Rigid Local Systems. (AM-139), Volume 139?

Rigid Local Systems. (AM-139), Volume 139 by Nicholas M. Katz is 219 pages long, and a total of 56,721 words.

This makes it 74% the length of the average book. It also has 69% more words than the average book.

How Long Does it Take to Read Rigid Local Systems. (AM-139), Volume 139 Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 9 minutes to read Rigid Local Systems. (AM-139), Volume 139 aloud.

What Reading Level is Rigid Local Systems. (AM-139), Volume 139?

Rigid Local Systems. (AM-139), Volume 139 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 Rigid Local Systems. (AM-139), Volume 139?

Rigid Local Systems. (AM-139), Volume 139 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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