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# Mathematics

Seminar Calendar
for events the day of Wednesday, October 14, 2015.

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Wednesday, October 14, 2015

3:00 pm in 345 Altgeld Hall,Wednesday, October 14, 2015

#### Miura for Toda and Q

###### Maarten Bergvelt (UIUC)

Abstract: The Miura transform for KdV maps solutions and the Hamiltonian structure of the modified KdV to KdV. Similarly there is for the finite non periodic Toda Lattice a modified system (the Kac-van Moerbeke lattice), and there is Miura transform that connects the two lattices. It will be argued that Miura for Toda comes from the Q-system.