1.

Record Nr.

UNINA9910480286403321

Titolo

Hodge theory, complex geometry, and representation theory : NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas / / Robert S. Doran, Greg Friedman, Scott Nollet, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2014

©2014

ISBN

1-4704-1470-8

Descrizione fisica

1 online resource (330 p.)

Collana

Contemporary Mathematics, , 1098-3627 ; ; Volume 608

Disciplina

514/.74

Soggetti

Algebraic cycles

Hodge theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""EDITORIAL COMMITTEE""; ""Contents""; ""Preface""; ""Conference Attendees""; ""Conference Speakers""; ""The smooth center of the cohomology of a singular variety""; ""1. Definition and properties of the smooth center of the cohomology""; ""2. H1sm(C) of a singular curve""; ""3. A simple strange surface""; ""4. Revisiting the example of Barbieri-Viale and Srinivas""; ""5. Examples of varieties with normal crossings""; ""6. More on varieties with normal crossings""; ""References""; ""Developments in Noether-Lefschetz theory""; ""Introduction""; ""1. The classical theorem""

""2. New ideas: the infinitesimal approach""""3. Components of the Noether-Lefschetz locus""; ""4. Class groups and Noether�s theorem""; ""References""; ""Compact quotients of non-classical domains are not K�ahler""; ""Introduction""; ""1. Compact Subvarieties""; ""2. Harmonic and Pluriharmonic Maps""; ""3. Proof of Theorem 0.1""; ""References""; ""Algebraicity of Hodge loci for variations of Hodge structure""; ""1. Introduction""; ""2. Results, consequences and generalizations""; ""3. Reduction to a Local Statement""; ""4. Splittings of MHS and Asymptotics of Period Maps""



""5. The Local Statement: One variable case""""6. The Local Statement: Bivariate Case""; ""References""; ""On the differential equations satisfied by certain Harish-Chandra modules""; ""1. Introduction""; ""2. Notations and preliminaries""; ""3. The three filtrations""; ""4. The spectral sequences associated to the filtrations""; ""5. The spectral sequence associated to the filtration""; ""6. The spectral sequence associated to the filtration""; ""7. Involutivity and the characteristic module of the PDE associated to""; ""8. The characteristic variety""

""Appendix A. The symbol spectral sequence and higher characteristic varieties""""References""; ""Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces""; ""1. Introduction""; ""2. Construction of fans and their boundary component structures""; ""References""; ""Notes on the representation theory of     â??(â??)""; ""Introduction""; ""1. Irreducible representations of     â??""; ""2. Parabolic induction""; ""3. Eisenstein series""; ""4. Modular forms""; ""5. Cuspidal automorphic forms""; ""6. Cohomology""; ""7. Appendix I:   ²(  ) and the {  _{  }^{±}}""

""7. Integral formulations and the Milnor regulator""