Ter­min

Ober­se­mi­nar "Al­ge­bra und Al­ge­brai­sche Geo­me­trie": Ce­d­ric Pe­pin (Uni­ver­si­tät Sor­bonne Pa­ris Nord ): "Around mod p Lang­lands du­a­li­ty in the p-small ran­ge"

Ort: A3.339

Abstracct:

Let p be a prime and n a positive integer. On the one hand, one can consider representations on characteristic p vector spaces of the topological group GL_n(Q_p), where Q_p is the field of p-adic integers. On the other hand, one can consider representations on characteristic p vector spaces of dimension n of the absolute Galois group of Q_p. We will illustrate a conjectural duality between these two kinds of representations, in the simplest case (so-called `p-small’). The talk will be mainly an introduction to the relevant set up.