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The zeta functions of Picard modular surfaces : based on lectures delivered at a CRM Workshop in the spring of 1988

Author: Robert P Langlands; Dinakar Ramakrishnan
Publisher: Montréal : Les Publications CRM, [1992]
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

Although they are central objects in the theory of diophantine equations, the zeta-functions of Hasse-Weil are not well understood. The AMS are pleased to offer this highly praised and integrated  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robert P Langlands; Dinakar Ramakrishnan
ISBN: 2921120089 9782921120081
OCLC Number: 25906145
Description: xiv, 492 pages : illustrations ; 25 cm
Contents: Canonical models of Picard modular surfaces; Arithmetic compactification of some Shimura surfaces; 2-cohomology is intersection cohomology; Analytic expression for the number of points mod p; Contribution of the points at the boundary; The points on a Shimura variety modulo a prime of good reduction; The description of the theorem; Orbital integrals of U(3); Remarks on Igusa theory and real orbital integrals; Calculation of some orbital integrals; Fundamental lemmas for U(3) and related groups; The multiplicity formula for A-packets; Tate classes and arithmetic quotients of the two-ball; The Albanese of unitary Shimura varieties; Lefschetz numbers of Hecke correspondences; On the shape of the contribution of a fixed point on the boundary: The case of Q-rank one; Appendix
Responsibility: edited by Robert P. Langlands, Dinakar Ramakrishnan.

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