W_m lattices, pseudo-difference operators and projective polygons
- Event Type
- Seminar/Symposium
- Sponsor
- Symplectic and Poisson geometry seminar
- Location
- 347 Altgeld Hall
- Date
- Oct 10, 2022 3:00 pm
- Speaker
- Gloria Marí Beffa
- Views
- 22
In this talk I will describe the construction of a Poisson pair using the algebra of pseudo-difference operators similarly to how pseudo-differential operators was used in the definition of W_m algebras. Difference operators are naturally connected to projective polygons and I will use that connection to describe a discrete version of the well-known Drinfel’d-Sokolov reduction for generalized KdV equations. This is on-going work with Anton Izosimov.