# Open problems about constructing Poisson bracket symmetries using (un)oriented graphs

## Physique Mathématique

Lieu:
Salle Kampé de Fériet M2
Orateur:
Arthemy Kiselev
Affiliation:
University of Groningen/IHES
Dates:
Mardi, 19 Novembre, 2019 - 10:15 - 11:30
Résumé:

Poisson brackets admit infinitesimal symmetries which are encoded using oriented graphs; this construction is due to Kontsevich (1996). We formulate several open problems about combinatorial and topological properties of the graphs involved, about integrability and analytic properties of such symmetry flows (in particular, for known classes of Poisson brackets), and about cohomological, differential geometric, and quantum aspects of the theory.