### Variations on discrete Floquet-Bloch Theory in positive characteristic

Zaidenberg, M *(Institut Fourier)*

Friday 30 July 2010, 10:30-11.15

Seminar Room 1, Newton Institute

#### Abstract

The classical Floquet theory deals with Floquet-Bloch solutions of periodic PDEs. A discrete version of this theory for difference vector equations on lattices, including the Floquet theory on infinite periodic graphs, was developed by Peter Kuchment. Here we propose a variation of this theory for matrix convolution operators acting on vector functions on lattices with values in a field of positive characteristic.

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