04490nam 2200625 450 991048028640332120180731043600.01-4704-1470-8(CKB)3710000000124450(EBL)3113304(SSID)ssj0001235993(PQKBManifestationID)11738463(PQKBTitleCode)TC0001235993(PQKBWorkID)11231217(PQKB)11044537(MiAaPQ)EBC3113304(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 ;Volume 608Description 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 Noetherâ€?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 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: Â²( ) and the { _{ }^{Â±}}""""7. Integral formulations and the Milnor regulator""Contemporary mathematics (American Mathematical Society) ;Volume 608.Algebraic cyclesCongressesHodge theoryCongressesElectronic books.Algebraic cyclesHodge theory514/.74Doran Robert S.1937-Friedman Greg1973-Nollet Scott1962-NSF/CBMS Regional Conference in the Mathematical Sciences: Hodge Theory, Complex Geometry, and Representation TheoryMiAaPQMiAaPQMiAaPQBOOK9910480286403321Hodge theory, complex geometry, and representation theory2271235UNINA