15th International Young Researchers Workshop on Geometry, Mechanics, and Control

The International Young Researchers Workshop on Geometry, Mechanics, and Control is a yearly event in which early career researchers from each of the three areas can share their work and initiate new collaborations. The workshop consists of three minicourses and nine contributed talks.

The 15th edition was meant to take place in the University of Utrecht (The Netherlands). However, due to the constraints imposed by Corona we will instead hold the meeting online:

  • When: November 30th – December 4th 2020. The sessions will take place during the afternoon/evening (CET). A precise schedule will be posted after the summer.
  • Where: Zoom. The meeting ID and password will be sent through email a few days before the event.
  • How: You can register here.
  • Other questions? You can contact us at 15thiyrwgmc[at]gmail.com.

Participants may submit an abstract, through the registration form above, for a contributed talk of 20 minutes. The deadline for proposing a talk is 1st November 2020.

Minicourses

Title: Infinite-dimensional Geometry: theory and applications

Speaker: Alice Barbara Tumpach (Université de Lille, France)

This minicourse is an introduction to Differential Geometry, with highlights on the infinite-dimensional case. It will be divided into 3 sections:
- Basic notions of manifolds and fiber bundles modelled on Hilbert, Banach or Fréchet spaces. Examples used in Geometry, Shape Analysis, or Gauge Theory.
- Inverse Function Theorems: the Banach version and the Nash-Moser version. Some applications to submanifolds.
- Some pathologies concerning Riemannian, complex, symplectic and Poisson structures in the infinite-dimensional setting.

During the lecture, the notions introduced will be illustrated with examples related to projective spaces, grassmannians, diffeomorphisms groups, spaces of sections, spaces of curves, and others.

References:

- R.S. Hamilton. The inverse function Theorem of Nash and Moser . Bulletin (New Series) of the American Mathematical Society, Volume 7, Number 1, 1982.
- W. Klingenberg. Riemannian Geometry . Walter de Gruyter, New York, 1982.
- A. Kriegl and P. W. Michor. The convenient setting of Global Analysis . Mathematical Surveys and Monographs, Volume 53.
- S. Lang. Fundamentals of Differential Geometry . Graduate Texts in Mathematics, Springer-Verlag, 1999.
- S. Lang. Differential and Riemannian Manifolds . Graduate Texts in Mathematics, Springer-Verlag, 1995.

Title: C0 Symplectic Geometry

Speaker: Lev Buhovski (Tel Aviv University, Israel)

TBA

Title: The Pontryagin maximum principle

Speaker: María Soledad Aronna (Escola de Matemática Aplicada, Brazil)

TBA

Contributed talks

The contributed talks will be announced closer to the actual date of the Workshop. You can submit your proposal through our registration page.

Scientific Committee:

Organising Committee:

(Downloadable) Poster:

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