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