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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 MarĂ­ Beffa
Views
20

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.

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