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ALGAR Summer School: Quadratic Forms and Local-Global Principles, 3-7 July 2017, University of Antwerp, Belgium

Publish Date: Apr 12, 2017

Deadline: Apr 18, 2017

ALGAR: Quadratic forms and local-global principles

Lecture series and talks on classical and recently proven local-global principles for isotropy of quadratic forms over different fields.

Guest lecturers:

  •  Raman Parimala (Emory University, Atlanta, GA, United States)
  •  Suresh Venapally (Emory University, Atlanta, GA, United States)
  •  Asher Auel (Yale University, New Haven, CT, United States)

Content description

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 the course 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.

Social programme

To keep the minds fresh and to maximise interaction, a wide variety of fun and interesting social activities will be organised during evenings and weekends so participants can make the most of their stay in Antwerp.

Participants will not only have the opportunity to get to know their fellow class-mates and staff in a more informal way, but will also be able to get in touch with peers attending other summer schools at the Antwerp Summer University. A visit to the beautiful city hall, a networking reception, a guided city walk, a quiz night, a football game and a day-trip to another Belgian city such as Bruges or Brussels are only some examples of these activities.

All activities of the social programme are offered free of charge, in some cases participants will be asked for a deposit which will be reimbursed upon participation to the activity. 

Application procedure in 4 steps

  1. Register in Mobility Online
  2. Fill in personal details, upload additional documents and complete requested extra questions
  3. Wait for approval of your application
  4. Pay the participation fee within 10 days after approval.

The application deadline is 18 April 2017 for early registration by master or PhD-students and 5 June 2017 for regular registration.

Applications can be submitted by filling in the online registration form via Mobility Online. After having registered, you will automatically receive an email with further guidelines to complete your application.

Upon successful submission you will receive an automatic reply to confirm your application. Students will be notified about the results of selection at the end of May. Accepted students will need to choose their preferred case for the group works at the beginning of June. In case your application is accepted, you will receive an email with more practical information on payment and visa.  Note that your subscription is only valid when the participation fee is received by the summer school’s secretariat.

Accepted students will be registered as regular students of the University of Antwerp and will hence receive a student account and a student card with which they will have access to the catering facilities and to the Wi-Fi network of the University of Antwerp. Furthermore, accepted students will be automatically insured under the policy of the University of Antwerp. 

Registration fee

Registration fee

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 after completion of the summer school.

Students and researchers without funding may apply for support. For details please contact the organizing committee (

Fee info

Fee includes course material, coffee breaks, conference dinner and social activities. Does not include lunch or accommodation.

Scholarships available for University of Antwerp students. 

Application details Online through Mobility Online. The application deadline is 18 April 2017 for early registration and 5 June 2017 for regular registration. Students will be notified about the results of selection in one week after application.

Cancellation by the participant

If the participant cancels before 5 June 2017,  50 % of the registration fee will be reimbursed to the participant. All refunds are made in euros. The organisation cannot refund any shortfalls due to exchange rate fluctuations or bank charges. 

Scholarships for external students

Students and researchers without funding may apply for support. For details please contact the organizing committee (

Scholarships for University of Antwerp students

Two types of scholarships are available for students who are currently enrolled as regular students of the University of Antwerp. 

  1. Refund of € 150/student after attending a summer school organised at Antwerp Summer University. Students should prefinance the full tuition fee and can claim a reimbursement of the allowance after submitting a certificate of attendance to the Antwerp Summer University Office. 
  2. Scholarship for a short international experience for students who qualify for financial aid by the Department of Social, Cultural and Studentaffairs (SCS).

For more information please click "Further Official Information" below.

This opportunity has expired. It was originally published here:

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