Rational and Integral Points via Analytic and Geometric Methods (18w5012)


(University of Bristol)

(Leibniz Universität Hannover)

(Universidade Federal do Rio de Janeiro)


The Casa Matemática Oaxaca (CMO) will host the "Rational and Integral Points via Analytic and Geometric Methods" workshop from May 27th to June 1st, 2018.

The study of rational or integral solutions to systems of polynomial equations is a topic that is almost as old as mathematics itself. Such systems define algebraic varieties and a driving force, historically, has been the decidability question for the existence (or non-existence) of rational or integral points on varieties. In the event that such points exist, furthermore, it is natural to try and understand their density. The aim of this meeting is to bring together researchers in analytic number theory and arithmetic geometry to push the boundaries of these fundamental questions.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT.