Summer School 2022: Geometric dispersive PDEs

Obergurgl© Ötztal Tourismus – Lohmann Alexander


: September 25 - 30, 2022

Place: University Center Obergurgl
Gaisbergweg 5, 6456 Obergurgl, Austria


  • Roland Donninger (Vienna)
  • Sebastian Herr (Bielefeld)
  • Mihaela Ifrim (Madison, Wisconsin)
  • Enno Lenzmann (Basel)

  • Tobias Lamm (Karlsruhe)
  • Birgit Schörkhuber (Innsbruck)
  • Tobias Weth (Frankfurt)
General information

The field of nonlinear dispersive partial differential equations is a highly active area within PDE analysis. In many models, geometry plays an important role; be it in the form of geometric constraints that are imposed on the unknowns or by the fact that the unknowns themselves represent geometric quantities.
The combination of geometric aspects and dispersive effects poses new challenges in the analytic investigation and requires a solid understanding of both subjects.

The aim of this summer school is to present in short lecture series recent developments in the field. It targets young researchers (PhDs, Postdocs) with strong background and interest in nonlinear dispersive PDEs and geometric evolution equations.

Speakers and lecture titles

Roland Donninger (University of Vienna)
Self-similar blowup in wave equations

Sebastian Herr (University of Bielefeld)
The Cauchy problem for the wave maps equation in critical spaces

Mihaela Ifrim (University of Wisconsin-Madison)
Nonlinear evolutions: the interplay between long time solutions and low regularity well-posedness

Enno Lenzmann (University of Basel)
An invitation to completely integrable dispersive PDEs with criticality


The summer school will take place in Obergurgl, Austria at the University Center Obergurgl. It will start in the evening of September 25, 2022 with an informal dinner and will end on September 30, 2022 after lunch.


Application period: April 1 - June 30, 2022

We recommend to apply as soon as possible as there are limited places available. Also, we reserve the right to close registration earlier in case all spots are filled before the deadline.

To apply, please send the following documents (one single pdf) to
- A short letter of motivation
- Scientific CV
- for PhD students: A letter of recommendation by your supervisor

Registration fee: 250 Euro
The registration fee covers accommodation (double rooms with separated beds) and full board (breakfast, lunch, coffee breaks, and dinner) at the University Center Obergurgl for the entire week.
The surcharge for single occupation is 180 Euro.Unfortunately, we are not able to cover travel costs. 

We have small number of family rooms in case you would like to bring your kids/partner. However, please note that Obergurgl lies at over 1900 m altitude, hence it is not recommended for babies/very young children.

After a successful application, we will send you further information concerning payment of the registration fees, travel details and the tentative schedule.

COVID Restrictions

 Participants have to be fully vaccinated and tested before attending the summer school.

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