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Fuzzy Riemann Surfaces
  KTH/Nordita/SU seminar in Theoretical Physics [before December 2013]

Wednesday 25 October 2006
from 11:00 to 12:00
at FB41
Speaker : Jens Hoppe (Mathematics KTH)
Abstract : Harmonic homogenous polynomials in 3 variables, upon substitution of N-dimensional representations of su(2) for the 3 commuting variables, have been used to define a map from functions on the 2-sphere to NxN matrices, which sends Poisson brackets into commutators (applications ranging from M(atrix)-theory, and integrable systems, to fluid-dynamics). For the torus, an analogous (but very different) construction is known. For higher-dimensional Riemann surfaces representations of certain new, non-linear algebras, can be found, providing a method to solve the longstanding problem of treating different Riemann surfaces in a unified (and concrete) way.

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