## Rational Points 2023

- Start Date
- 2023-07-23
- End Date
- 2023-07-29
- Institution
- Frankenakademie Schloss Schney
- City
- Schney/Lichtenfels, Bavaria
- Country
- Germany
- Meeting Type
- workshop
- Homepage
- https://www.mathe2.uni-bayreuth.de/stoll/workshop2023/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.

## Problems?

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