## Combinatorics and Graph Theory

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

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.

## Contact

Department of Mathematics
Michigan State University