I will describe some of the history of, progress in, and future prospects for the p-adic Langlands program. This is an aspect of the Langlands program that grew out of the successful proof of Langlands reciprocity in various important cases (in particular, the modularity of elliptic curves over Q) twenty or so years ago. It relates the deformati...
Creator:
Emerton, Matthew (University of Chicago)
Created:
2018-11-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Let $F$ be a perfect field of characteristic $p>0$ equipped with a non trivial absolute value, $E$ a non archimedean locally compact field whose residue field is contained in $F$ and $pi$ a uniformizing parameter of $E$. We associate functorially to these datas a separated integral noetherian regular scheme $X=X_{F,E,pi}$ of dimension $1$ define...
Creator:
Fontaine, Jean-Marc (Université de Paris XI (Paris-Sud))
Created:
2011-01-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.