Lecture series and talks on classical and recently proven local-global principles for isotropy of quadratic forms over different fields.
Stadscampus, University of Antwerp, Belgium
3 - 7 July 2017
The main target group consists of Master students and PhD students in fundamental mathematics. More advanced mathematicians are also welcome to participate.
The Hasse-Minkowski Theorem states that a quadratic form over a number field is isotropic (i.e. it represents zero non-trivially) if and only if it is isotropic over all completions of the field. Over most fields a similar statement would not hold. However, in recent years similar local-global principles for isotropy of quadratic forms were discovered, in particular over function fields of certain two-dimensional schemes.
In several lecture series this summer school aims to develop a thorough understanding of the arithmetic of some special types of fields, of local-global principles for quadratic forms over these fields and for the techniques involved in proving them. The necessary background on field arithmetic, geometry and quadratic form theory will be covered. There will further be some exercise sessions and some special talks on related topics.
3 ECTS credits are awarded upon successful completion of the programme.
Regular registration (not incl. accomodation): € 300
Early registration incl. accommodation in student rooms*: € 360
* Single room with shared facilities
Early registration (not incl. accommodation), students: €220
UAntwerpen students**: €180
** University of Antwerp Students are entitled to a refund of €150.
Fee includes course material, coffee breaks, a reception and a conference dinner. Does not include accommodation and meals.
Students without funding may apply for support. For details please contact the organizing committee (firstname.lastname@example.org).
University of Antwerp Students are entitled to a refund of €150 after completion of the summer school.
Online through Mobility Online. The application deadline is 26 April (early bird) or 5 June (regular).