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

By: NSF/CBMS Regional Conference in the Mathematical Sciences: Hodge Theory, Complex Geometry, and Representation Theory (2012 : Fort Worth, Tex.)Contributor(s): Doran, Robert S, 1937- [editor of compilation.] | Friedman, Greg, 1973- [editor of compilation.] | Nollet, Scott, 1962- [editor of compilation.]Material type: TextTextSeries: Contemporary mathematics ; v. 608Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Description: 1 online resource (xv, 311 pages : illustrations)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470414702 (online)Subject(s): Algebraic cycles -- Congresses | Hodge theory -- Congresses | Algebraic geometry -- Cycles and subschemes -- Algebraic cycles | Algebraic geometry -- Cycles and subschemes -- Transcendental methods, Hodge theory | Algebraic geometry -- Families, fibrations -- Variation of Hodge structures | Algebraic geometry -- Special varieties -- Homogeneous spaces and generalizations | Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory | Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over real fields: analytic methods | Topological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations | Topological groups, Lie groups -- Lie groups -- Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) | Several complex variables and analytic spaces -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations | Several complex variables and analytic spaces -- Complex spaces with a group of automorphisms -- Homogeneous complex manifoldsAdditional physical formats: Hodge theory, complex geometry, and representation theory :DDC classification: 514/.74 LOC classification: QA564 | .N74 2012Other classification: 14C25 | 14C30 | 14D07 | 14M17 | 20G05 | 22E45 | 22E46 | 22E47 | 32G20 | 32M10 Online resources: Contents | Contents
Contents:
The smooth center of the cohomology of a singular variety / Donu Arapura, Xi Chen and Su-Jeong Kang -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12173 Developments in Noether-Lefschetz theory / John Brevik and Scott Nollet -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12174 Compact quotients of non-classical domains are not K�ahler / James A. Carlson and Domingo Toledo -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12175 Algebraicity of Hodge loci for variations of Hodge structure / Eduardo Cattani and Aroldo Kaplan -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12176 On the differential equations satisfied by certain Harish-Chandra modules / Mark Green and Phillip Griffiths -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12177 Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces / Tatsuki Hayama -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12178 On the equivalence problem for bracket-generating distributions / Aroldo Kaplan and Mauro Subils -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12179 Notes on the representation theory of $SL_{2}(\mathbb {R})$ / Matt Kerr -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12180 Cup products in automorphic cohomology: The case of $Sp_{4}$ / Matt Kerr -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12181 Hodge type conjectures and the Bloch-Kato theorem / James D. Lewis -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12182 Principal Hodge representations / C. Robles -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12183 A study of mirror symmetry through log mixed Hodge theory / Sampei Usui -- http://www.ams.org/conm/608/ http://dx.doi.org/10.1090/conm/608/12184
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Includes bibliographical references.

The smooth center of the cohomology of a singular variety / Donu Arapura, Xi Chen and Su-Jeong Kang -- Developments in Noether-Lefschetz theory / John Brevik and Scott Nollet -- Compact quotients of non-classical domains are not K�ahler / James A. Carlson and Domingo Toledo -- Algebraicity of Hodge loci for variations of Hodge structure / Eduardo Cattani and Aroldo Kaplan -- On the differential equations satisfied by certain Harish-Chandra modules / Mark Green and Phillip Griffiths -- Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces / Tatsuki Hayama -- On the equivalence problem for bracket-generating distributions / Aroldo Kaplan and Mauro Subils -- Notes on the representation theory of $SL_{2}(\mathbb {R})$ / Matt Kerr -- Cup products in automorphic cohomology: The case of $Sp_{4}$ / Matt Kerr -- Hodge type conjectures and the Bloch-Kato theorem / James D. Lewis -- Principal Hodge representations / C. Robles -- A study of mirror symmetry through log mixed Hodge theory / Sampei Usui --

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12173

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12174

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12175

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12176

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12177

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12178

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12179

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12180

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12181

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12182

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12183

http://www.ams.org/conm/608/

http://dx.doi.org/10.1090/conm/608/12184

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014

Mode of access : World Wide Web

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