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Hodge theory, complex geometry, and representation theory / [edited by] Robert S. Doran, Greg Friedman, Scott Nollet.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 608Publication details: Providence : American Mathematical Society, c2014.Description: xv, 311 p. : illustrations ; 26 cmISBN:
  • 9780821894156 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
The smooth center of the cohomology of a singular variety-- Developments in Noether-Lefschetz theory-- Compact quotients of non-classical domains are not kahler-- Algebraicity of Hodge loci for variations of Hodge structure-- On the differential equations satisfied by certain Harish-Chandra modules-- Kato-Usui partial compactifications fover the toroidal compactifications of siegel spaces-- On the equivalence problem for bracket-generating distributions-- Notes on the representation theory of SL2(R)-- Cup products in automorphic cohomology: The case of SP4-- Hodge type conjectures and the Bloch-Kato theorem-- Principal Hodge representations-- A study of mirror symmetry through log mixed Hodge theory.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512c (Browse shelf(Opens below)) Available 135779
Total holds: 0

Includes bibliographical references.

The smooth center of the cohomology of a singular variety--
Developments in Noether-Lefschetz theory--
Compact quotients of non-classical domains are not kahler--
Algebraicity of Hodge loci for variations of Hodge structure--
On the differential equations satisfied by certain Harish-Chandra modules--
Kato-Usui partial compactifications fover the toroidal compactifications of siegel spaces--
On the equivalence problem for bracket-generating distributions--
Notes on the representation theory of SL2(R)--
Cup products in automorphic cohomology: The case of SP4--
Hodge type conjectures and the Bloch-Kato theorem--
Principal Hodge representations--
A study of mirror symmetry through log mixed Hodge theory.

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.

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