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 their extensions
• 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 Lean (University of Würzburg)
  • Aneta Slizewska (University of Białystok)
• Keynote talks:
  • 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)
  • Peter Michor (University of Vienna)
  • 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:
  • Keti Tenenblat (University of Brazilia)
  • Eva Miranda (Universitat Politecnica de Catalunya)
  • Stephen Preston (City University of New York)
  • Stefan Haller (University of Vienna)

Week 3: Homeomorphisms of S^1 and their extensions

• Mini-courses
  • François Gay-Balmaz (Nanyang Technological University, Singapore)
  • Anastasia Molchanova (University of Vienna)
• Keynote talks:
  • Tudor Ratiu (Shanghai Jiao Tong University)
  • Yurii Neretin (Univ. Vienna & Pauli Institut)

Week 4: Shape Analysis and Geometry

• Mini-courses
  • Blanche Buet (Universite Paris-Saclay)
  • Elena Cellodoni (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:
  • Stefan Ohrhallinger (Vienna University of Technology)
  • Remco Duits (CASA, University of Eindhoven)
  • Guillaume Charpiat (INRIA Saclay)
  • Frédéric Barbaresco (Thales)
  • Frank Nielsen (Sony Computer Sciences Laboratories)