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The Editors for this special issue are Michael Eastwood
(University of Adelaide, Australia) and
A. Rod Gover (University of Auckland, New Zealand)
The 17th Midwest Geometry Conference was held at the
University of Iowa, Iowa City, during
May 18th−20th 2007. This conference was
dedicated to the memory of Professor
Thomas Branson of the University
of Iowa. He died suddenly at age 52 on March 11th, 2006.
It was a great shock to all who knew him. Tom was very much involved
in the organisation of the Midwest Geometry Conference Series. The
17th in the series was already scheduled to be held at
the University of Iowa in 2007 with Tom as an organiser. The
conference combined themes from geometry, physics and symmetry; this
was consistent with Tom Branson's work, which was distinguished as a
highly original blend of these three elements. SIGMA is pleased to
publish the proceedings of MGC2007: Tom joined the Editorial Board of
SIGMA in January 2006.
On behalf of the Conference Participants the editors would
like to express deep gratitude for the tireless efforts of the
conference organisers:
Main Organiser:
Palle Jorgensen (University of Iowa).
Organizing Committee:
Susanne Branson (University of Iowa),
Oguz Durumeric (University of Iowa),
Charles Frohman (University of Iowa),
Doojin Hong (University of North Dakota),
Tong Li (University of Iowa),
Vincent Rodgers (University of Iowa),
Walter Seaman (University of Iowa),
Lihe Wang (University of Iowa).
Scientific Committee:
Andrzej Derdzinski (Ohio State University),
Michael Eastwood (University of Adelaide),
A. Rod Gover (University of Auckland),
Rafe Mazzeo (Stanford University),
Gestur Ólafsson (Louisiana State University),
Lawrence Peterson (University of North Dakota),
Shihshu Walter Wei (University of Oklahoma).
Sponsors: The organisers were most grateful for
financial support from: the National Science Foundation,
the Institute for Mathematics and its Applications at the University of Minnesota,
the University of Iowa, the College of Liberal Arts and Sciences, and
Mathematics @ Iowa.
April 02, 2008
The Editors
Papers in this Issue:
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The Research of Thomas P. Branson
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Michael G. Eastwood and A. Rod Gover
SIGMA 4 (2008), 037, 7 pages [ abs
pdf ps ]
-
A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
-
Stephen M. Paneitz
SIGMA 4 (2008), 036, 3 pages [ abs
pdf ps ]
-
Branching Laws for Some Unitary Representations of SL(4,R)
-
Bent Ørsted and Birgit Speh
SIGMA 4 (2008), 017, 19 pages [ abs
pdf ps ]
-
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
-
Yvette Kosmann-Schwarzbach
SIGMA 4 (2008), 005, 30 pages [ abs
pdf ps ]
-
On 1-Harmonic Functions
-
Shihshu Walter Wei
SIGMA 3 (2007), 127, 10 pages [ abs
pdf ps ]
-
Some Progress in Conformal Geometry
-
Sun-Yung A. Chang, Jie Qing and Paul Yang
SIGMA 3 (2007), 122, 17 pages [ abs
pdf ps ]
-
Conformal Powers of the Laplacian via Stereographic Projection
-
C. Robin Graham
SIGMA 3 (2007), 121, 4 pages [ abs
pdf ps ]
-
Conformal Metrics with Constant Q-Curvature
-
Andrea Malchiodi
SIGMA 3 (2007), 120, 11 pages [ abs
pdf ps ]
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Branson's Q-curvature in Riemannian and Spin Geometry
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Oussama Hijazi and Simon Raulot
SIGMA 3 (2007), 119, 11 pages [ abs
pdf ps ]
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On Gauss-Bonnet Curvatures
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Mohammed Larbi Labbi
SIGMA 3 (2007), 118, 11 pages [ abs
pdf ps ]
-
Some Sharp L2 Inequalities for Dirac Type Operators
-
Alexander Balinsky and John Ryan
SIGMA 3 (2007), 114, 10 pages [ abs
pdf ps ]
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Curved Casimir Operators and the BGG Machinery
-
Andreas Cap and Vladimír Soucek
SIGMA 3 (2007), 111, 17 pages [ abs
pdf ps ]
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Biorthogonal Expansion of Non-Symmetric Jack Functions
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Siddhartha Sahi and Genkai Zhang
SIGMA 3 (2007), 106, 9 pages [ abs
pdf ps ]
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Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary
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William J. Ugalde
SIGMA 3 (2007), 104, 18 pages [ abs
pdf ps ]
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Translation to Bundle Operators
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Thomas P. Branson and Doojin Hong
SIGMA 3 (2007), 102, 14 pages [ abs
pdf ps ]
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Toeplitz Operators, Kähler Manifolds, and Line Bundles
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Tatyana Foth
SIGMA 3 (2007), 101, 6 pages [ abs
pdf ps ]
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Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds
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A. Rod Gover
SIGMA 3 (2007), 100, 21 pages [ abs
pdf ps ]
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Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
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Bernhelm Booß-Bavnbek, Giampiero Esposito and Matthias Lesch
SIGMA 3 (2007), 098, 29 pages [ abs
pdf ps ]
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Differential Invariants of Conformal and Projective Surfaces
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Evelyne Hubert and Peter J. Olver
SIGMA 3 (2007), 097, 15 pages [ abs
pdf ps ]
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Stanilov-Tsankov-Videv Theory
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Miguel Brozos-Vázquez, Bernd Fiedler, Eduardo García-Río, Peter Gilkey,
Stana Nikcevic, Grozio Stanilov, Yulian Tsankov, Ramón Vázquez-Lorenzo and Veselin Videv
SIGMA 3 (2007), 095, 13 pages [ abs
pdf ps ]
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Vacuum Energy as Spectral Geometry
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Stephen A. Fulling
SIGMA 3 (2007), 094, 23 pages [ abs
pdf ps ]
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Heat Trace Asymptotics on Noncommutative Spaces
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Dmitri V. Vassilevich
SIGMA 3 (2007), 093, 11 pages [ abs
pdf ps ]
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Q-Curvature, Spectral Invariants, and Representation Theory
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Thomas P. Branson
SIGMA 3 (2007), 090, 31 pages [ abs
pdf ps ]
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The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra
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Karl Hallowell and Andrew Waldron
SIGMA 3 (2007), 089, 12 pages [ abs
pdf ps ]
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Monogenic Functions in Conformal Geometry
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Michael Eastwood and John Ryan
SIGMA 3 (2007), 084, 14 pages [ abs
pdf ps ]
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Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference
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Edited by Lawrence J. Peterson
SIGMA 3 (2007), 081, 7 pages [ abs
pdf ps ]
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