Period domains over finite and p-adic fields

By:

Dat, Jean-Francois

Contributor(s):

Series: Cambridge tracts in mathematics no. 183Publication details: Cambridge University Press, 2010. Cambridge:Description: xxii, 372p.; hbk; 24cmISBN:

9780521197694

Subject(s):

DDC classification:

512.74 DAT

Summary: This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. On the other hand, the book also provides a thorough introduction to the basics of period domains, as they appear in the geometric approach to local Langlands correspondences and in the recent conjectural p-adic local Langlands program. The authors provide numerous worked examples and establish many connections to topics in the general area of algebraic groups over finite and local fields. In addition, the end of each section includes remarks on open questions, historical context and references to the literature. https://www.cambridge.org/core/books/period-domains-over-finite-and-padic-fields/A16137C27711D13349ABAE20C10B9CBA#fndtn-information

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	512.74 DAT (Browse shelf(Opens below))	1	Available		031754

Includes index and references

This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. On the other hand, the book also provides a thorough introduction to the basics of period domains, as they appear in the geometric approach to local Langlands correspondences and in the recent conjectural p-adic local Langlands program. The authors provide numerous worked examples and establish many connections to topics in the general area of algebraic groups over finite and local fields. In addition, the end of each section includes remarks on open questions, historical context and references to the literature.

https://www.cambridge.org/core/books/period-domains-over-finite-and-padic-fields/A16137C27711D13349ABAE20C10B9CBA#fndtn-information

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