Hodge Theory, Complex Geometry, And Representation Theory (contemporary Mathematics)
by Greg Friedman /
2014 / English / PDF
9.8 MB Download
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. He then
discussed recent breakthroughs of Carayol that provide the
possibility of extending these results beyond the classical case.
His lectures will appear as an independent volume in the CBMS
series published by the AMS. This volume, which is dedicated to
Phillip Griffiths, contains carefully written expository and
research articles. Expository papers include discussions of
Noether-Lefschetz theory, algebraicity of Hodge loci, and the
representation theory of SL2(R). Research articles concern the
Hodge conjecture, Harish-Chandra modules, mirror symmetry, Hodge
representations of Q-algebraic groups, and compactifications,
distributions, and quotients of period domains. It is expected that
the book will be of interest primarily to research mathematicians,
physicists, and upper-level graduate students.
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. He then
discussed recent breakthroughs of Carayol that provide the
possibility of extending these results beyond the classical case.
His lectures will appear as an independent volume in the CBMS
series published by the AMS. This volume, which is dedicated to
Phillip Griffiths, contains carefully written expository and
research articles. Expository papers include discussions of
Noether-Lefschetz theory, algebraicity of Hodge loci, and the
representation theory of SL2(R). Research articles concern the
Hodge conjecture, Harish-Chandra modules, mirror symmetry, Hodge
representations of Q-algebraic groups, and compactifications,
distributions, and quotients of period domains. It is expected that
the book will be of interest primarily to research mathematicians,
physicists, and upper-level graduate students.
