Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics Hodge Theory, Complex Geometry, and Representation Theory, Texas Christian University, Fort Worth, Texas, June 18, 2012

Author(s)

• Hodge theory, complex geometry, and Representation Theory
• Doran, Robert S.
• Friedman, Greg
• Nollet, Scott

Bibliographic Information

Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics Hodge Theory, Complex Geometry, and Representation Theory, Texas Christian University, Fort Worth, Texas, June 18, 2012

Robert S. Doran, Greg Friedman, Scott Nollet, editors

（Contemporary mathematics, 608）

American Mathematical Society, c2014

• : pbk

Note

Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of an NSF/Conference Board of the Mathematical Sciences (CBMS) regional conference on Hodge theory, complex geometry, and representation theory, held on June 18, 2012, at the Texas Christian University in Fort Worth, TX. Phillip Griffiths, of the Institute for Advanced Study, gave 10 lectures describing now-classical work concerning how the structure of Shimura varieties as quotients of Mumford-Tate domains by arithmetic groups had been used to understand the relationship between Galois representations and automorphic forms. He then discussed recent breakthroughs of Carayol that provide the possibility of extending these results beyond the classical case. His lectures will appear as an independent volume in the CBMS series published by the AMS. This volume, which is dedicated to Phillip Griffiths, contains carefully written expository and research articles. Expository papers include discussions of Noether-Lefschetz theory, algebraicity of Hodge loci, and the representation theory of SL2(R). Research articles concern the Hodge conjecture, Harish-Chandra modules, mirror symmetry, Hodge representations of Q-algebraic groups, and compactifications, distributions, and quotients of period domains. It is expected that the book will be of interest primarily to research mathematicians, physicists, and upper-level graduate students.

by "Nielsen BookData"

Details

• NCID: BB14936303
• ISBN:
  • 9780821894156
• LCCN: 2013031105
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xv, 311 p.
• Size: 26 cm
• Classification:
  • LCC : QA564
  • DC23 : 514/.74
• Subject Headings:
  • LCSH : Algebraic cycles -- Congresses
  • LCSH : Hodge theory -- Congresses
  • FREE : Algebraic geometry -- Cycles and subschemes -- Algebraic cycles. msc
  • FREE : Algebraic geometry -- Cycles and subschemes -- Transcendental methods, Hodge theory. msc
  • FREE : Algebraic geometry -- Families, fibrations -- Variation of Hodge structures. msc
  • FREE : Algebraic geometry -- Special varieties -- Homogeneous spaces and generalizations. msc
  • FREE : Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory. msc
  • FREE : Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over real fields: analytic methods. msc
  • FREE : Topological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations. msc
  • FREE : Topological groups, Lie groups -- Lie groups -- Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.). msc
  • FREE : Several complex variables and analytic spaces -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations. msc
  • FREE : Several complex variables and analytic spaces -- Complex spaces with a group of automorphisms -- Homogeneous complex manifolds. msc
• Parent Bibliography ID:
  • BA00009927