MATRIX-SMRI Symposium: Nijenhuis Geometry and Integrable Systems

**Please note updated daily start time of 6PM AEDT**

MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems, February 2022 
Joint Symposium, 7 - 18 February 2022 
Week 1 (7 - 11 Feb): Online via Zoom 
Week 2 (14 - 18 Feb): On-site at MATRIX, Creswick (via invitation) & online 
Wk 2 Schedule here (online talks in red): 
https://www.matrix-inst.org.au/events/matrix-smri-symposium-nijenhuis-geometry-and-integrable-systems/

The research symposium explores Nijenhuis geometry and uses it as a link connecting
finite and infinite dimensional integrable systems.  We shall use the methods and
results of infinite dimensional integrable systems to attack famous conjectures in the
theory of finite-dimensional integrable systems, in particular concerning existence,
description and classification of polynomially integrable geodesic flows on the torus
and on the sphere.  

We will employ recent advances in projective geometry and the theory of separation of
variables to construct and study new examples of multicomponent integrable systems.  

While Riemannian and Poisson geometries have been very well studied, Nijenhuis geometry
is a relatively new research area.  In the first online week of the workshop, an
introduction to Nijenhuis geometry will be given.  We will present a general research
programme in the area and will show that it is realistic by presenting first nontrivial
easy-to-formulate results.  We will discuss milestones of the theory, open problems, and
sketch possible applications.  

Co-Chairs: 
Alexey Bolsinov works as a Reader in Mathematics at Loughborough University.  His
research results include the discovery of a new phenomenon in dynamical systems known as
integrable chaos, theory of orbital classification for integrable two-degrees-of-freedom
systems, loop molecule method in topology of integrable systems and new classes of
holonomy groups and symmetric spaces in pseudo-Riemannian geometry.  Under his
supervision, 18 PhD students successfully completed their research projects, many of
them continue their academic careers in USA, Russia, Brazil, Germany and China.  

Vladimir Matveev is a Chair of Mathematics at the University of Jena.  He has solved a
number of major open problems in several areas of Difierential Geometry and in the
theory of Integrable Systems including two problems explicitly posed by Sophus Lie in
1882, the projective Lichnerowich conjecture and c-projective Yano-Obata conjecture.  
He constructed two new examples of natural integrable Hamiltonian systems on closed
surfaces, Dullin-Matveev and Matveev-Shevchishin systems.  

Event Organisers: 
Emma Carberry (University of Sydney) 
Holger Dullin (University of Sydney) 
Vladimir Matveev (University of Jena) 

Online registration: (register once for all week 1 lectures)
https://uni-sydney.zoom.us/meeting/register/tZcpcuygrzktGdHKkZeeZLInZ1NsT14ahCRW 

For more information, please visit: the SMRI symposium webpage
https://mathematical-research-institute.sydney.edu.au/symposia/matrix-smri-nijenhuis-geometry-symposium/
the MATRIX symposium webpage
https://www.matrix-inst.org.au/events/matrix-smri-symposium-nijenhuis-geometry-and-integrable-systems/