Edited by Lawrence J. Peterson, “Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference”, SIGMA, 2007, Volume 3,081, 7 pp.

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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

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.

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

MSC: 53A35

Received: August 9, 2007; Published online August 15, 2007

Language: English

DOI: 10.3842/SIGMA.2007.081