## Student Algebra

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

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?

## Contact

Department of Mathematics
Michigan State University