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Overview
Programme overview
We will study linear algebraic groups and explore their connections to quadratic forms and central simple algebras with an involution. On this basis, we will discuss cohomological invariants and see a presentation of Weil’s characterization of classical semi-simple groups of adjoint type as automorphism groups of algebras with involution. We will further look into the rationality problem for certain group varieties and the related notion of R-equivalence, introduced by Y. Manin.
The main part of the summer school takes place in the week from 25 to 29 August. There some familiarity with the basic notions of quadratic forms, Galois cohomology and linear algebraic groups will be assumed. It will consist of lectures accompanied by exercise sessions and a couple of research talks. Participants who want an initiation into the topics of the main week, are warmly invited to the introductory days from 20 to 22 August. The confirmed speakers are:
- Nicolas Garrel (University of Antwerp, Belgium)
- Philippe Gille (Université de Lyon, France)
- Diego Izquierdo (Institut Polytechnique de Paris, France)
- M. Archita (University of Antwerp, Belgium)
Programme Structure
- To obtain additional information about the program, we kindly suggest that you visit the programme website, where you can find further details and relevant resources.
- The programme for 2025 will be announced shortly
Key information
Duration
- Full-time
- 5 days
Start dates & application deadlines
- Starting
- Deadline passed, International
- Apply before , EEA/EU
-
More details
Your application for the summer school should be submitted before 27 June. Non-EEA+ nationals are advised to apply before 16 May.
Language
English
Credits
3 ECTS
Delivered
On Campus
Campus Location
- Antwerpen, Belgium
- Antwerpen, Belgium
Disciplines
Mathematics View 3 other Short Courses in Mathematics in BelgiumWhat students do after studying
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Academic requirements
We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.
English requirements
We are not aware of any English requirements for this programme.
Other requirements
General requirements
- 3rd year bachelor students, master students, PhD and potdoc researchers.
- Participants should have a basic understanding of number theory, algebraic geometry and/or quadratic form theory.
Student insurance
Make sure to cover your health, travel, and stay while studying abroad. Even global coverages can miss important items, so make sure your student insurance ticks all the following:
- Additional medical costs (i.e. dental)
- Repatriation, if something happens to you or your family
- Liability
- Home contents and baggage
- Accidents
- Legal aid
We partnered with Aon to provide you with the best affordable student insurance, for a carefree experience away from home.
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Remember, countries and universities may have specific insurance requirements. To learn more about how student insurance work at University of Antwerp and/or in Belgium, please visit Student Insurance Portal.
Tuition Fee
To always see correct tuition fees
-
International
150 EUR/fullTuition FeeBased on the tuition of 150 EUR for the full programme during 5 days. -
EU/EEA
150 EUR/fullTuition FeeBased on the tuition of 150 EUR for the full programme during 5 days.
Living costs for Antwerpen
787 - 1230 EUR /month
Living costs
The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.
Funding
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