Workshop on Computational Differential Geometry, Topology, and Dynamics
Description
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Audio and slides of talks
Workshop Overview
This workshop will deal with the interaction between computation and topics in geometry, topology, and dynamics. Topics include, among other things, recognition problems in geometry and topology, the computation of geometric structures on topological spaces, undecidability results in geometry and topology, algorithms for drawing dynamically interesting sets in the plane, algorithmic aspects of geometric group theory, computational properties in convex geometry, computer-aided proofs of dynamical behavior, numeric/symbolic algorithms and the corresponding computer to obtain invariant manifolds, homoclinic phenomena, etc in non-rigorous and rigorous implementations, and computer exploration of dynamical systems aiming at describing global properties of the dynamics and suggesting theoretical results. Complexity of these algorithms will also be discussed.
Invited Speakers
|
Zin Arai (Hokkaido) |
Igor Pak (UCLA) Roland Roeder (SUNY Stony Brook) Saul Schleimer (Warwick) Richard Schwartz (Brown) Carles Simó (Universidad de Barcelona) Sergei Tabachnikov (Pennsylvania State) Morwen Thistlethwaite (Tennessee) Dylan Thurston (Barnard College,Columbia ) Warwick Tucker (Uppsala ) Shmuel Weinberger (Chicago) Daniel Wilczak (Bergen) Yosef Yomdin (Weizmann Institute) Piotr Zgliczynski (Jagiellonian) * may be confirmed |
Schedule
| 08:45 to 09:00 |
Welcome and Introductions
Location: |
| 09:00 to 10:00 |
Persistent homology of data, loop spaces, and landscapes
Shmuel Weinberger, University of Chicago Location: |
| 10:00 to 11:00 |
Measuring with algebra
Herbert Edelsbrunner, IST Austria Location: |
| 11:00 to 13:00 |
Lunch Break
|
| 13:00 to 14:00 |
Reduction theory and coding of geodesics on the modular surface
Svetlana Katok, The Pennsylvania State University Location: |
| 14:00 to 15:00 |
Reduction theory and coding of geodesics on the modular surface
Piotr Zgliczynski, Jagiellonian University Location: |
| 15:00 to 16:00 |
Coffee Break
|
| 16:00 to 17:00 |
Walk on Sphere algorithm and boundary geometry
Ilia Binder, University of Toronto Location: |
| 17:00 to 18:00 |
Reception
|
| 09:00 to 10:00 |
The exact computation of some representation varieties
Morwen Thistlethwaite, University of Tennessee Knoxville Location: |
| 10:00 to 11:00 |
A rigorous lower bound for the stability regions of the quadratic map
Warwick Tucker, Uppsala University Location: |
| 11:00 to 13:00 |
Lunch Break
|
| 13:00 to 14:00 |
I. Center-Focus Problem for Abel equation, Moment vanishing, Compositions, and Mathieu and Zhao conjectures
Yosef Yomdin, Weizmann Institute of Science Location: |
| 14:00 to 15:00 |
Acute triangulations of polytopes
Igor Pak, University of California, Los Angeles Location: |
| 15:00 to 16:00 |
Coffee Break
|
| 16:00 to 17:00 |
Pentagrama Myrificum, Old wine into new wineskins
Sergei Tabachnikov, The Pennsylvania State University Location: |
| 09:00 to 10:00 |
Rigidity of Graphs
Dylan Thurston, Indiana University and University of Indiana Location: |
| 10:00 to 11:00 |
Computing arithmetic invariants for hyperbolic reflection groups
Roland Roeder, IUPUI Location: |
| 11:00 to 13:00 |
Lunch Break
|
| 13:00 to 14:00 |
Deciding the undecidable: Probabilistic arguments versus finite resolution dynamics
Stefano Luzzatto, International Centre for Theoretical Physics (ICTP) Location: |
| 14:00 to 15:00 |
The role of Dynamical Systems in Celestial Mechanics.Applications to Astronomy and Astrodynamics
Carles Simo, Universitat de Barcelona Location: |
| 09:00 to 10:00 |
Rigorous verification of uniform hyperbolicity, subshifts of finite type and the pruning front
Zin Arai, Hokkaido University Location: |
| 10:00 to 11:00 |
A difficult minimization problem: the distribution of points in the sphere
Carlos Beltrán, Universidad de Cantabria Location: |
| 11:00 to 13:00 |
Lunch Break
|
| 13:00 to 14:00 |
Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle
Joel Hass, University of California Davis Location: |
| 14:00 to 15:00 |
II. "Algebraic" reconstruction of Signals and Images from Fourier Data
Yosef Yomdin, Weizmann Institute of Science Location: |
| 16:00 to 17:00 |
Billiards in nearly isosceles triangles
Pat Hooper, The City College of New York Location: |
| 09:00 to 10:00 |
Rigorous numerics for homoclinic tangencies
Daniel Wilczak Location: |
| 10:00 to 11:00 |
Twister: building triangulations of surface bundles
Saul Schleimer, University of Warwick Location: |
| 11:00 to 13:00 |
Lunch Break
|
| 13:00 to 14:00 |
Polygonal Outer Billiards
Richard Schwartz, Brown University Location: |
| 14:00 to 15:00 |
Practical solutions to hard problems in 3-dimensional topology
Nathan Dunfield, University of Illinois Urbana-Champaign Location: |
| 15:00 to 16:00 |
Coffee Break
|
| 16:00 to 17:00 |
No Title Specified
Martin Berz, Michigan State University Location: |
| 10:00 to 11:00 |
Computability and Complexity of Julia Sets
Mark Braverman, Princeton University Location: |
| 11:00 to 12:00 |
Dessert: Hilbert's 13th Problem, in Full Colour
Dror Bar-Natan, University of Toronto Location: |
