The aim of the project is to reinforce the collaboration between scientists from Austrian research institutions and international institutions around the topic of infinite dimensional geometry. Direct applications of the theoretical aspects of infinite dimensional geometry to shape analysis and medical imaging are part of the program.

The programme will last five 5 weeks, each devoted to different topic ranging from abstract theoretical questions to very concrete applications (e.g. medical).

Each week mini-courses lecturers and keynote speakers will share their understanding on particular topics. Short talks from the participants will complete the programme.

• Week 1: Geometric structures and infinite-dimensional manifolds
• Week 2: Dynamical systems and infinite-dimensional manifolds
• Week 3: Homeomorphisms of S^1 and Groups in infinite-dimensions
• Week 4: Shape Analysis and Geometry
• Week 5: Shape Analysis and Medical Applications

Detailed schedule together with the list of speakers will be announced at a later date. The following researchers agreed to contribute to the programme (please note that the list is not final yet):

Week 1: Geometric structures and infinite-dimensional manifolds

• Mini-courses
  • Eduardo Chiumiento (Instituto Argentino de Matemática and Universidad de La Plata)
  • Madeleine Jotz  (University of Würzburg)
  • Aneta Slizewska (University of Białystok)
• Keynote talks:
  • Anton Alekseev (University of Geneva)
  • Esteban Andruchow (Instituto Argentino de Matemática and Universidad Nacional de General Sarmiento, Buenos Aires)
  • Daniel Beltiţă (Institute of Mathematics of the Romanian Academy, Bucharest)
  • Chiara Esposito (University of Salerno)
  • Karl-Hermann Neeb (Friedrich-Alexander-Universität Erlangen-Nürnberg)

Week 2: Dynamical systems and infinite-dimensional manifolds

• Mini-courses
  • Annalisa Calini (College of Charleston)
  • Katarzyna Grabowska (University of Warsaw)
  • Anton Izosimov (University of Arizona)
• Keynote talks:
  • François Gay-Balmaz (Nanyang Technological University, Singapore)
  • Stefan Haller (University of Vienna)
  • Eva Miranda (Universitat Politecnica de Catalunya)
  • Stephen Preston (City University of New York)
  • Keti Tenenblat (University of Brazilia)

Week 3: Homeomorphisms of S^1 and Groups in infinite-dimensions

• Mini-courses
  • Tobias Diez (Shanghai Jiao Tong University)
  • Laszlo Feher (University of Szeged)
  • Anastasia Molchanova (University of Vienna)
• Keynote talks:
  • Anna Florio (Universite Paris Dauphine-PSL) 
  • Peter Michor (University of Vienna)
  • Yurii Neretin (Univ. Vienna & Pauli Institut)
  • Tudor Ratiu (Shanghai Jiao Tong University)

Week 4: Shape Analysis and Geometry

• Mini-courses
  • Blanche Buet (Universite Paris-Saclay)
  • Elena Celledoni (Norwegian University of Science and Technology)
  • Klas Modin (Chalmers University)
• Keynote talks:
  • Martin Bauer (Florida State University)
  • Rita Fioresi (University of Bologna)
  • Alice Le Brigant (Sorbonne University)
  • Fabian Rupp (University of Vienna)
  • Alain Trouvé (ENS Cachan)

Week 5: Shape Analysis and Medical Applications

• Mini-courses
  • Pooran Memari (Ecole Polytechnique)
  • Xavier Pennec (INRIA Sophia-Antipolis)
• Keynote talks:
  • Guillaume Charpiat (INRIA Saclay)
  • Remco Duits (CASA, University of Eindhoven)
  • Stefan Ohrhallinger (Vienna University of Technology)
• Special Guests  
  • Frédéric Barbaresco (Thales)
  • Frank Nielsen (Sony Computer Sciences Laboratories)