## Rational Points 2021

- 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.

## Problems?

If you notice a problem with this entry, please contact the curators by email.