04450nam 2200589 450 991082196020332120220902013547.01-4704-1470-8(CKB)3710000000124450(EBL)3113304(SSID)ssj0001235993(PQKBManifestationID)11738463(PQKBTitleCode)TC0001235993(PQKBWorkID)11231217(PQKB)11044537(MiAaPQ)EBC3113304(RPAM)17843274(PPN)194179508(EXLCZ)99371000000012445020140613h20142014 uy 0engur|n|---|||||txtccrHodge 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, editorsProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (330 p.)Contemporary mathematics,1098-3627 ;6080271-4132Description based upon print version of record.0-8218-9415-3 Includes bibliographical references.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: Â²( ) and the { _{ }^{Â±}} -- 7. Integral formulations and the Milnor regulator cont...Contemporary mathematics (American Mathematical Society).6080271-4132Algebraic cyclesCongressesHodge theoryCongressesAlgebraic cyclesHodge theory514/.7414C2514C3014D0714M1720G0522E4522E4622E4732G2032M10mscDoran Robert S.1937-Friedman Greg1973-Nollet Scott1962-NSF/CBMS Regional Conference in the Mathematical Sciences: Hodge Theory, Complex Geometry, and Representation TheoryMiAaPQMiAaPQMiAaPQBOOK9910821960203321Hodge theory, complex geometry, and representation theory4001863UNINA