Cremona conference- Basel 2016
A Cremona transformation is a birational transformation of the plane (or more generally of the n-dimensional space). It corresponds to a map given by rational functions that admits an inverse of the same type. These maps have been a subject of study since centuries: the first appearance are in the ancient Greek: inversions and Moebius transformations.The subject has then been really much developped by the italian school in the nineteenth century and then never ceased to interest mathematicians until now. It has also many applications and relations with other topics of mathematics, like number theory, group theory , dynamical systems or hyperbolic geometry. The aim of this conference was to bring together a maximum of people having worked on this during the last decade, and to let young people discover it. Speakers
In the first week (5-9 September 2016), there were mini-courses introducing the subject, given by
In the second week (12-16 September 2016), we had research talks. Speakers were:
We will also have a special historical talk on September 12, given by
We also had poster sessions and question sessions, in order to encourage discussions between the participants and to promote all recent results on the subject. Schedule If not indicated: In Basel, Alte Universität, Rheinsprung 9
Basel 4051
Mini-courses
Exercises
We had exercise sessions on Monday and Tuesday, at 5pm.List of exercises Historical talk
Research talks
Poster sessions
All participants were welcome to present a poster during the conference. There were two poster sessions, one in each week with an apéritif. The aim was to present to people the recent work made on Cremona transformations and encourage the discussion around the topic.Question sessions
We had a question session, were open questions asked by the participants were registered. These are available here.List of questions Literature
People that were interested to read before the conference could have a look at the following surveys on Cremona transformations:
A list (maybe not exhaustive, but quite large) of articles on Cremona transformations is available on the webpage of Julie Déserti: click here to see the list. Links to the full-text of the articles are given for most of the texts. Pictures
Pictures of the conference
Participants (95)
(the third column is 1-2 if the participant come on both weeks, or 1, respectively 2, if he/she comes the first, respectively the second week)We had some partial support for the lodging. Organisers
Jérémy Blanc, Mattias Hemmig, Christian Urech, Susanna Zimmermann
Financial support
We gratefully acknowledge support from:University of Basel Swiss doctoral program in mathematics |