CAS Research Grant · 2027/2028

Geometric Analysis of Nonholonomic Systems

A year-long research programme at the Centre for Advanced Study in Oslo

CAS logo Centre for Advanced Study
at the Norwegian Academy of Science and Letters
Period
2027/2028
Programme
CAS Research Grant
Field
Mathematics
Location
CAS, Oslo

The mathematics of constrained motion

We propose a year-long program at CAS for 2027/2028 on the mathematical study of constrained systems. While holonomic constraints are locally indistinguishable from unconstrained systems, non-holonomic systems lead to rich analytic and geometric phenomena even locally.

Such systems are significant in applications, and they appear in many fields such as mechanics, geometry, differential equations, robotics and control theory. Our focus will be on developing new methods to solve open problems in this area and understanding how different techniques from analysis and geometry can work together. This will be a collaborative and interdisciplinary project, bringing together researchers from various fields.

Principal investigators

Portrait of Boris Kruglikov
Professor
UiT The Arctic University of Norway
Principal investigator

Workshops, seminars & conferences

  1. September 6–9, 2027Workshop 1

    CR geometry and complex analysis: symmetries and invariants

    Organizers: Boris Kruglikov, Irina Markina, David Sykes
  2. November 15–18, 2027Workshop 2

    Sub-Riemannian and related nonholonomic geometries

    Organizers: Boris Kruglikov, Irina Markina, Francesca Tripaldi
  3. February 21–24, 2028Workshop 3

    Hypoelliptic operators, PDEs and metric spaces

    Organizers: Boris Kruglikov, Irina Markina, Véronique Fischer
  4. April 25–28, 2028Workshop 4

    Dispersionless integrability, twistor theory and geometric structures on moduli spaces

    Organizers: Boris Kruglikov, Irina Markina, David Calderbank
  5. May 30 – June 2, 2028Final conference

    Analysis and Geometry of Nonholonomic Systems

Get in touch

For inquiries about the programme, please contact
Irina Markina, University of Bergen

irina.markina@uib.no