Department of Mathematics

Student Algebra

  •  Log-Canonical Poisson Brackets on the Algebra of Rational Functions
  •  10/05/2016
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Nicholas Ovenhouse, MSU

On a symplectic manifold, there are always canonical coordinates around any point, where the symplectic form looks like the standard one on R^2n. In terms of Poisson geometry, this means the bracket of any two coordinate functions is constant. We ask whether such a thing is possible in the algebraic situation. That is, given a Poisson bracket, is there some change of coordinates, using only rational functions, which makes the bracket between coordinate functions constant?



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

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