Hodge theory, complex geometry, and representation theory / [edited by] Robert S. Doran, Greg Friedman, Scott Nollet.
Material type:
- 9780821894156 (alk. paper)
- 510 23 Am512c
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510 Am512c Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces / | 510 Am512c Geometric and spectral analysis : | 510 Am512c Expository lectures on representation theory / | 510 Am512c Hodge theory, complex geometry, and representation theory / | 510 Am512c Ring theory and its applications : | 510 Am512c Perspectives in representation theory / | 510 Am512c Group theory, combinatorics and computing / |
Includes bibliographical references.
The smooth center of the cohomology of a singular variety--
Developments in Noether-Lefschetz theory--
Compact quotients of non-classical domains are not kahler--
Algebraicity of Hodge loci for variations of Hodge structure--
On the differential equations satisfied by certain Harish-Chandra modules--
Kato-Usui partial compactifications fover the toroidal compactifications of siegel spaces--
On the equivalence problem for bracket-generating distributions--
Notes on the representation theory of SL2(R)--
Cup products in automorphic cohomology: The case of SP4--
Hodge type conjectures and the Bloch-Kato theorem--
Principal Hodge representations--
A study of mirror symmetry through log mixed Hodge theory.
This volume contains the proceedings of an NSF/Conference Board of the Mathematical Sciences (CBMS) regional conference on Hodge theory, complex geometry, and representation theory, held on June 18, 2012, at the Texas Christian University in Fort Worth, TX. Phillip Griffiths, of the Institute for Advanced Study, gave 10 lectures describing now-classical work concerning how the structure of Shimura varieties as quotients of Mumford-Tate domains by arithmetic groups had been used to understand the relationship between Galois representations and automorphic forms.
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