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Colloquium di Matematica - Pierre Cartier

"About a quantization of Galois Theory"

Pierre Cartier (Institut des Hautes Etudes Scientifiques, France)

Abstract

We begin by reviewing the Picard-Vessiot theory for differential equations , in the various presentations : monodromy ,  geometrical presentations using principal bundles and Lie groupoids ,  algebraic version using differential ring extensions , tensor categories . By analogy , we consider the equations using the Jackson q-derivations . Here also , there  is a Galois theory ,  but for this purpose , we must replace ordinary groups by quantum groups as described by I. Manin . This is a continuation of recent work by Hiroshi Umemura (Nagoya University , Japan) . We use heavily Hopf algebraic methods to access to this noncommutative world.

13 Dicembre 2017, ore: 16:00
Dipartimento di Matematica e Fisica - Aula F
Largo San Leonardo Murialdo 1 Roma
Per informazioni: Valerio Talamanca
valerio@mat.uniroma3.it