Netherlands, Utrecht

Geometry

when 20 August 2018 - 31 August 2018
language English
duration 2 weeks
credits 3 ECTS
fee EUR 450

The summer course on Geometry aims to cover a spectrum of modern geometry as broad as possible, as well their interaction with neighbouring fields such as logic, Lie and number theory and physics.

Geometry is the theory of space. "Space” is a multi-faceted concept: it refers equally well to the phase space of a classical mechanical system, the differential-geometrical space of general relativity or the operator-theoretic space of quantum mechanics from physics, as to the internet as a huge graph of connections.
The summer course on Geometry, which is organised by the Utrecht Geometry Centre, aims to cover a spectrum of modern Geometry as broad as possible, as well their interaction with neighbouring fields such as logic, Lie and number theory and physics.

Course leader

Dr. Johan van de Leur

Target group

Mathematics students with at least two years of mathematics at bachelor level, including basic topology and algebra (groups/rings) or physics students with a basic knowledge of mathematics including basic topology and algebra (groups/rings).

Course aim

This course aims to cover a spectrum of modern geometry, such as:
symplectic geometry, algebraic geometry, number theory, logic, Lie theory and possible applications in physics. Each day of the summer school is dedicated to one of these subjects. Lectures alternate with problem sessions. The day-to-day programme will be announced in the spring; to give you an indication we will list last year's programme (but speakers and/or topics differ from year to year):
- Dr. Johan van de Leur: The Korteweg-de Vries Hierarchy (an algebraic approach)
- Prof. Carel Faber: Modular forms
- Dr. Fabian Ziltener: Some highlights of symplectic geometry
- Dr. Martijn Kool: Curves and singularities
- Dr. Gil Cavalcanti: Euler characteristic and classification of surfaces
- Prof. Frans Oort: Alexander Grothendieck, his work and his life
- Prof. Gunther Cornelissen: Zeta functions
- Dr. Damaris Schindler: Apollonian circle packings
- Prof. Ieke Moerdijk, Joost Nuiten M.Sc.: Representations of finite groups
- Dr. Jaap van Oosten: The topology of ordinal numbers

Credits info

3 ECTS
Certificate of Attendance

Fee info

EUR 450: Course + course materials
EUR 350: Housing

Scholarships

A limited number of scholarships in the form of fee waivers (max. €375 per student) is available. There are no travel grants, grants for housing costs or for course material available.

You can apply for the scholarship together with your application f

Register for this course
on course website