The quantum content of the Neumann-Zagier equations

Series
Geometry Topology Seminar
Time
Monday, February 20, 2012 - 2:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Stavros Garoufalidis – Georgia Tech – stavros@math.gatech.eduhttp://www.math.gatech.edu/~stavros
Organizer
Stavros Garoufalidis
The Neumann-Zagier equations are well-understood objects of classical hyperbolic geometry. Our discovery is that they have a nontrivial quantum content, (that for instance captures the perturbation theory of the Kashaev invariant to all orders) expressed via universal combinatorial formulas. Joint work with Tudor Dimofte.