Department of Mathematics

Combinatorics and Graph Theory

  •  Log-Canonical Coordinates for Poisson Brackets
  •  03/21/2017
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Nicholas Ovenhouse, MSU

In symplectic geometry, Darboux's theorem gives so-called 'canonical' local coordinates, in which the Poisson bracket (obtained from the symplectic structure) takes a particularly simple form: all brackets of coordinate functions are constants. We investigate whether something analogous is true for Poisson varieties (when the coordinate change is only allowed to be rational functions), and give a negative answer in the case of log-canonical coordinates.



Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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