S. Gilles

collaborators

2 papers

math.NT2023

Arithmetic duality for $p$ -adic pro-étale cohomology of analytic curves

Pierre Colmez, Sally Gilles, Wiesława Nizioł

We prove a Poincaré duality for arithmetic $p$ -adic pro-étale cohomology of smooth dagger curves over finite extensions of $Q_{p}$ . We deduce it, via the Hochschild-Serre s…

math.GT2021

Fock--Goncharov coordinates for semisimple Lie groups

S. Gilles

Fock and Goncharov introduced cluster ensembles, providing a framework for coordinates on varieties of surface representations into Lie groups, as well as a complete construction f…

Arithmetic duality for p-adic pro-étale cohomology of analytic curves

Fock--Goncharov coordinates for semisimple Lie groups

Arithmetic duality for $p$ -adic pro-étale cohomology of analytic curves