Rational Points 2021

ag.algebraic-geometry nt.number-theory
Start Date
2021-07-25 
End Date
2021-07-31 
Institution
Frankenakademie Schloss Schney 
City
Schney/Lichtenfels, Bavaria 
Country
Germany 
Meeting Type
workshop 
Homepage
http://www.mathe2.uni-bayreuth.de/stoll/workshop2021/index.html 
Contact Name
Michael Stoll 

Description

This workshop aims at bringing together the leading experts in the field, covering a broad spectrum reaching from the more theoretically-oriented over the explicit to the algorithmic aspects. The fundamental problem motivating the workshop asks for a description of the set of rational points X(Q) for a given algebraic variety X defined over Q. When X is a curve, the structure of this set is known, and the most interesting question is how to determine it explicitly for a given curve. When X is higher-dimensional, much less is known about the structure of X(Q), even when X is a surface. So here the open questions are much more basic for our understanding of the situation, and on the algorithmic side, the focus is on trying to decide if a given variety does have any rational point at all.

This is a workshop with about 50 participants. Participation is by invitation. Every participant is expected to contribute actively to the success of the event, by giving talks and/or by taking part in the discussions.

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