\documentclass[12pt,titlepage]{article} \usepackage{amsmath} \usepackage{mathrsfs} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsthm} \usepackage{mathtools} \usepackage{graphicx} \usepackage{color} \usepackage{ucs} \usepackage[utf8x]{inputenc} \usepackage{xparse} \usepackage{hyperref} %----Macros---------- % % Unresolved issues: % % \righttoleftarrow % \lefttorightarrow % % \color{} with HTML colorspec % \bgcolor % \array with options (without options, it's equivalent to the matrix environment) % Of the standard HTML named colors, white, black, red, green, blue and yellow % are predefined in the color package. 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\newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{Problems in the theory of automorphic forms -- 45 years later} This page records material related to the talk \begin{itemize}% \item [[Robert Langlands]] \emph{Problems in the theory of automorphic forms: 45 years later} at \emph{\href{https://www.maths.nottingham.ac.uk/personal/ibf/files/sc3.html}{Symmetries and correspondences in number theory, geometry, algebra, physics: intra-disciplinary trends}} Oxford, July 5 - July 8, 2014 \href{https://publications.ias.edu/node/2605}{a message to Sarnak on general issues} \href{https://www.maths.nottingham.ac.uk/personal/ibf/files/RL-oxford.pdf}{review and discussion of further issues (pdf)} \href{http://video.ias.edu/files/ams/2014/LanglandsEdit.mp4}{lecture video 1}, \href{http://video.ias.edu/files/ams/2014/LanglandsP1.mp4}{video 2}, \href{http://video.ias.edu/files/ams/2014/LanglandsP2.mp4}{video 3}.\footnote{Be aware that the \href{https://publications.ias.edu/node/2617}{page} linking these video files says: \emph{``Please note that the following videos might not play in Mozilla Firefox, but should in Google Chrome and possibly other browsers.''} If your computer runs a recent version of Quicktime (e.g. 10.3) then copy the address from here and paste it into the location bar in Quicktime and it will work. This difficulty should be resolved with up-dates of Firefox and other browsers.} \href{https://www.maths.nottingham.ac.uk/personal/ibf/files/RL-comments.pdf}{technical remarks on the video material (pdf)} \end{itemize} on the state of the art of the [[Langlands program]], including some cautionary remarks on the [[geometric Langlands correspondence]]. category: reference [[!redirects LanglandsOxford2014]] \end{document}