The Summer School on Geometry is a two-week programme featuring ten one-day mini-courses on various topics within Geometry. This is understood in a broad sense: the courses will touch on algebraic geometry, differential geometry, and algebraic topology, and will highlight interactions with fields like number theory, group theory and mathematical physics. The School is aimed at students that have completed at least two years of undergraduate studies in Mathematics and therefore have a basic background on algebra, analysis and topology. Physics students with this basic knowledge of mathematics are also welcome to apply.
The Summer School on Geometry is organised by the Utrecht Geometry Centre (UGC), which encompasses all the research groups on fundamental mathematics within the Mathematical Institute of Utrecht University. The mini-courses offered during the School are thus a reflection of the research directions pursued at UGC.
Each day of the programme will be dedicated to a concrete topic. This will involve, roughly, four lectures of 45 minutes as well as two exercise sessions of 90 minutes each.
Target audience
Mathematics students with at least two years of mathematics at bachelor's level, including basic (abstract) algebra (groups and rings), (mathematical) analysis in several variables, linear algebra and point-set topology. Physics students with this basic knowledge of mathematics are also welcome to apply. Students from universities in The Netherlands are also welcome to apply.
Aim of the course
Each day of the School aims to cover a different facet of modern Geometry. Topics covered in previous years include: Algebraic Geometry, Arithmetic Geometry, Differential Topology, Algebraic Topology, Symplectic Geometry, Complex Geometry, Number Theory, Lie Theory, Logic, and applications to Physics.
Study load
Lectures and exercise sessions in the morning and afternoon (9am to 5pm, including lunch and other breaks).
Costs
There are no travel grants, grants for housing costs or fee waivers available. The fee includes two social lunches and two dinners. Since the number of spots in the summer school is limited, we will select participants based on their CV, background and motivation statement. The application deadline is 30 June, or earlier when the school is full.
Application
For this course you are required to upload the following documents when applying:
Contact details
Wilfred de Graaf, w.f.degraaf@uu.nl