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

• 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 Kähler / 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 SL2(R) / Matt Kerr -- Cup products in automorphic cohomology: The case of Sp4 / 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. 

• On June 18, 2012, Professor Griffiths was the plenary speaker at a Conference Board of the Mathematical Sciences (CBMS) conference hosted at Texas Christian University in Fort Worth, where he gave a series of 10 lectures on the topic “Hodge Theory, Complex Geometry, and Representation Theory”. In these lectures, Prof. Griffiths first explained 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; he then discussed how, due to a recent breakthrough of Carayol and a better understanding of cycle spaces, Penrose transforms, and Mumford-Tate domains, there is now the possibility of extending these results beyond the classical case. Despite the complexity of this topic, which occurs at the confluence of several major research areas in mathematics, the lectures were solidly grounded in key examples in order to make them accessible to a broad audience.

Ämnesord

Algebraic cycles  -- Congresses. (LCSH)

Hodge theory  -- Congresses. (LCSH)

Algebraic geometry  -- Cycles and subschemes -- Algebraic cycles (msc)

Algebraic geometry  -- Cycles and subschemes -- Transcendental methods, Hodge theory (msc)

Algebraic geometry  -- Families, fibrations -- Variation of Hodge structures (msc)

Algebraic geometry  -- Special varieties -- Homogeneous spaces and generalizations (msc)

Group theory and generalizations  -- Linear algebraic groups and related topics -- Representation theory (msc)

Topological groups, Lie groups  -- Lie groups -- Representations of Lie and linear algebraic groups over real fields: analytic methods (msc)

Topological groups, Lie groups  -- Lie groups -- Semisimple Lie groups and their representations (msc)

Topological groups, Lie groups  -- Lie groups -- Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (msc)

Several complex variables and analytic spaces  -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations (msc)

Several complex variables and analytic spaces  -- Complex spaces with a group of automorphisms -- Homogeneous complex manifolds (msc)

Genre

Electronic books.  (LCSH)

Publikations- och innehållstyp

QA564 (LCC)

QA564 (LCC)

514.74 (DDC)

14C25 (msc)

14C30 (msc)

14D07 (msc)

14M17 (msc)

20G05 (msc)

22E45 (msc)

22E46 (msc)

22E47 (msc)

32G20 (msc)

32M10 (msc)

Tepd (kssb/8 (machine generated))