Reading seminar in Circle Packing - Winter 2011

Prerequisites

Schedule:

• September 12: Asaf Nachmias, Introduction and the proof of the Koebe-Andreev-Thurston circle packing theorem.


• September 19: Juan Souto , Circle packing and hyperbolic geometry.


• September 26: No seminar (due to JM Bismut's talk)


• October 3: Hannah Cairns, The convergence of circle packings to the Riemann mapping (after Rodin and Sullivan).


• October 10: No seminar (Thanksgiving day)


• October 17: Gourab Ray, Recurrence of distributional limits of finite planar graphs (after Benjamini and Schramm).


• October 24: Ori Gurel-Gurevich, The cover time of planar graphs. (after Jonnason and Schramm)


• October 31: Tom Meyerovitch, Harmonic functions on planar graphs (after Benjamini and Schramm).


• November 7: Brett Kolesnik, Hyperbolic and parabolic packings (after He and Schramm).

Further papers and material

• "The convergence of circle packings to the Riemann mapping", by Rodin and Sullivan.
• "Recurrence of distributional limits of finite planar graphs" by Benjamini and Schramm.
• Hyperbolic and parabolic packings, by He and Schramm.
• "Harmonic functions on planar and almost planar graphs and manifolds, via circle packings", by Benjamini and schramm.
• "On the cover time of planar graphs", by Jonnason and Schramm.
• "Separators for sphere-packings and nearest neighbor graphs", by Miller, Teng, Thurston and Vavasis.
• "Oded Schramm: From Circle Packing to SLE", by Steffen Rohde.
• Kenneth Stephenson's webpage has terrific pictures.