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Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory
June 3-19, 2009
Columbia University
New York, USA

Organizers
Abhijit Champanerkar (CSI, CUNY), Oliver Dasbach (LSU), Effie Kalfagianni (MSU), Ilya Kofman (CSI, CUNY), Walter Neumann (Barnard College, Columbia U.), Neal Stoltzfus (LSU)

Conference Homepage

Abstracts

Workshop

Stéphane Baseilhac Quantum hyperbolic field theories
Francis Bonahon Quantum Teichmüller theory
Marc Culler Topology of hyperbolic 3-manifolds
David Futer From knot diagrams to hyperbolic geometry
Stavros Garoufalidis 1. An introduction to the Arithmetic and Geometry of the Volume Conjecture. 2. Asymptotics of classical spin networks. 3. Enumeration of cubic graphs and Painleve I.
Sergei Gukov The Many Dimensions of the Volume Conjecture
Rinat Kashaev Knot invariants from the combinatorics of triangulations.
Thang Le Integrality in Quantum Topology
Gregor Masbaum Integral structures in TQFT
Hitoshi Murakami Introduction to the Volume Conjecture
Walter Neumann Arithmetic invariants of hyperbolic manifolds
Jessica Purcell Dehn filling techniques in hyperbolic knot theory
Dylan Thurston Hyperbolic geometry
Fernando Rodriguez Villegas L-functions and K-theory of elliptic curves.
Genevieve Walsh Hyperbolic Geometry and Commensurability

Conference

Abdelmalek Abdesselam Rigorous estimates for classical spin networks
Stephane Baseilhac How much rigid are the quantum hyperbolic invariants ?
Steven Boyer Toroidal Dehn filling of hyperbolic 3-manifolds
Francesco Costantino On a volume conjecture for planar graphs
Charles Frohman A global formula for the Total SU(2)-Reidemeister torsion of a knot complement.
David Futer Knots with long unknotting tunnels
Patrick Gilmer Topological Applications of TQFT over a ring of integers
Sergei Gukov Feynman diagrams and arithmetic TQFT
William Jaco “Connections between ideal triangulations of knot complements and one-vertex triangulations of knot exteriors”
Rinat Kashaev Ring-valued knot invariants from a restricted class of representations of the knot group
Alex Kontorovich Expanding Horospheres and Apollonian Gaskets
Greg Kuperberg How hard is it to approximate the Jones polynomial?
Thang Le "Hyperbolic volume, Mahler measure and homology growth".
Feng Luo Volume optimization, normal surfaces and Thurston's equation on triangulated 3-manifolds
Gregor Masbaum On mapping class group representations coming from Integral TQFT
Hitoshi Murakami Representations of the fundamental group and the colored Jones polynomial of a knot
Jessica Purcell Geometric limits of knot complements
Alan Reid The geometry of arithmetic hyperbolic 3-manifolds
Adam S. Sikora The relations between Jones polynomial of knots and the topology of their complements
Dylan Thurston Cluster algebras and triangulated surfaces
Roland van der Veen The volume conjecture for iterated torus links
Genevieve Walsh Commensurability of knot complements
Christian Zickert Hyperbolic manifolds, algebraic K-theory and the extended Bloch group


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