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2010 Barrett Memorial Lectures

Discrete Differential Geometry and Applications

May 17-21, 2010

Discrete differential geometry is concerned with: (1) discretization of concepts from classical differential and conformal geometry of surfaces; (2) creation of fast, flexible algorithms for computations with the objects of this discrete theory; and (3) application of the theory and software in mathematics, science, and engineering. The conference will be organized around these 5 interconnected themes.

Monday
Probability and Surfaces, Rick Kenyon (Brown University)
Matthew Kahle (Stanford)
Russ Lyons (Indiana)
Scott Sheffield (MIT)
Lauren Williams (Berkeley)
David Wilson (Microsoft)

Tuesday
Discrete Integrable Systems, Alexander Bobenko (TU – Berlin)
Ulrich Pinkall (TU – Berlin)
Wolfgang Schief (NSW)
Boris Springborn (TU – Berlin)

Wednesday
Discrete Conformal Geometry, Elias Wegert (Freiberg)
Edward Crane (Bristol)
Feng Luo (Rutgers)

Thursday
DDG for Fast Computational Algorithms, Peter Schröder (CalTech)
Mathieu Desbrun (Caltech)
MaxWardetzky (Goettingen)
Steffen Weissmann (TU-Berlin)

Friday
Combinatorial Surfaces, Ken Stephenson (Tennessee)
Omer Angel (UBC)
William Floyd (VPI&SU)
Jonathan Shewchuk (Berkeley)

Ulrich Pinkall, TU-Berlin: Polygonal Smoke
Elias Wegert, Freiberg: On Riemann-Hilbert Problems in Circle Packing
David Glickenstein, Arizona: Conformal Variations of Regge’s Einstein-Hilbert Functional
Edward Crane, University of Bristol, England: Branched circle packings and the Weierstrass P-function
Brock Williams, Texas Tech: Circle packing coordinates for moduli space
Russell Lyons, Indiana University: Random complexes via tooplogically-inspired determinants
D. Champion, D. Glickenstein, A. Young, Arizona: Poster: The behavior of the Einstein-Hilbert-Regge functional on the double tetrahedron
Ulrike Bucking, TU-Berlin: On existence and convergence of conformally equivalent triangle meshes for conformal mappings and regular lattices
Emanuel Huhnen-Venedey, TU-Berlin: Curvature line parameterized sufaces and orthogonal coordinate systems — discretization with Dupin cyclides
Jonathan Shewchuk, Berkeley: Dynamic local remeshing for elastoplastic simulation
William Floyd, VPI: Finite subdivision rules and rational functions
Gerald Orick, Naval Air Warfare Lab: Computational circle packing
Hans Fritz, Freiburg: Computation of Ricci curvature for given hypersurfaces using the finite element method
Boris Springborn, TU-Berlin: Discrete conformal maps and ideal hyperbolic polyhedra
Ken Stephenson, Tennessee: Poster: Emergent conformal structure: circle packing
Yong Lin, Harvard and Renmin University: Ricci curvature on graphs
David Gu, Stony Brook: Computing surface conformal mapping
Scott Sheffield, MIT: Liouville Quantum gravity and KPZ
Dan Champion, David Glickenstein, Andrea Young, Arizona: Poster: The behavior of the Einstein-Hilbert-Regge functionsl on the double tetrahedron

Conference Organizers:

  • Ken Stephenson of the University of Tennessee
  • Alexander Bobenko of the Technical University, Berlin
Sponsored by: University of Tennessee Mathematics Department, College of Arts & Sciences, Office of Research, the DFG Research Unit “Polyhedral Surfaces”, Institute for Mathematics and its Applications (Participating Institution Conference), and National Science Foundation (pending)