Department of Mathematics Calendar

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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

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W_m lattices, pseudo-difference operators and projective polygons

Event Type
Symplectic and Poisson geometry seminar
347 Altgeld Hall
Oct 10, 2022   3:00 pm  
Gloria MarĂ­ Beffa

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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