New Directions in Rational Points (24w4002)

Organizers

Alexei Skorobogatov (Imperial College London)

(Universiteit Leiden)

Sujatha Ramdorai (University of British Columbia)

(Glasgow University)

(Durham University)

Description

The Chennai Mathematical Institute will host the "New Directions in Rational Points" workshop in Chennai, India from January 7 to January 12, 2024.


Workshop Report - Click here to download


Rational points are rational solutions of polynomial equations with integer or rational coefficients. Solubility of such equations is one of the major questions that drive the development of mathematics since Diophantus of Alexandria (circa 200-280 AD). Modern number theory to a large extend grew out of the attempts to prove Fermat's Last Theorem that describes all rational solutions of a particular kind of equations.


Presently, polynomial equations of degree 2 are well understood, and a good deal is known about equations of degree 3. Modern methods aim to deal with large families of more complicated equations statistically, establishing the proportion of soluble equations in a given family. This relies on the development of new techniques in analysis, geometry and algebra.


The Chennai Mathematical Institute (CMI) in Chennai, India, 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), and Alberta's Advanced Education