Elliptic Log Symplectic Brackets on Projective Bundles
Speaker:
Mykola Matviichuk, University of Toronto
Date and Time:
Wednesday, September 27, 2023 - 1:30pm to 3:00pm
Location:
Fields Institute, Room 332
Abstract:
I will present a novel approach to constructing holomorphic log symplectic Poisson brackets that have a geometric connection to elliptic curves. This method relies on the deformation theory and involves combinatorics of graphs with decorations. I will demonstrate its effectiveness by creating new examples, as far as my knowledge extends, on complex projective bundles over a polydisc. Additionally, I will revisit and rediscover the Feigin-Odesski log symplectic brackets on projective spaces, and provide examples.