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

• Record Nr.: UNINA9910821960203321
• 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 ; ; 608 , 0271-4132
• Classificazione: 14C2514C3014D0714M1720G0522E4522E4622E4732G2032M10
• Disciplina: 514/.74
• Soggetti: Algebraic cycles; Hodge theory
• 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 KÂ?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 ... -- 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 cont...