Weighted loops, coadjoint orbits, and characters
Date
Thursday, September 4, 2025 10:00 - 11:30
Speaker
Cornelia Vizman (West University of Timisoara)
Location
Mondi Seminar Room 3, Central Building
Series
Seminar/Talk
Host
Chris Wojtan
Contact
For the group of area preserving diffeomorphisms we study a class of coadjoint orbits consisting of weighted loops in the plane. They model singular vorticities in ideal 2D fluids supported on closed curves, called vortex loops. We give an Onsager-Feynman condition for the existence of a character associated with a vortex loop. Similar results hold in higher dimensions, for the coadjoint orbits of the group of volume preserving diffeomorphisms consisting of vortex sheets.