Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 3 (2007), 081, 7 pages      arXiv:0708.2170      http://dx.doi.org/10.3842/SIGMA.2007.081
Contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson

Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference

Edited by Lawrence J. Peterson
University of North Dakota, Grand Forks, North Dakota, USA

Received August 09, 2007; Published online August 15, 2007

Abstract
The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference. This paper summarizes the comments made during the panel discussion.

Key words: determinants; differential complexes; differential geometry; Einstein metrics; GJMS operators; global invariants; heat kernel; Kähler metrics; Q-curvature; Sobolev inequalities.

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