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SUMMARY:MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems
DTSTAMP:20260401T014400Z
DTSTART;VALUE=DATE:20220206
DTEND;VALUE=DATE:20220217
DESCRIPTION:MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable system
	s\, February 2022\n\nJoint Symposium\, 7 - 18 February 2022\nWeek 1 (7 - 1
	1 Feb): Online via Zoom\nWeek 2 (14 - 18 Feb): On-site at MATRIX\, Creswic
	k (via invitation)\n\nThe research symposium explores Nijenhuis geometry a
	nd uses it as a link connecting finite and infinite dimensional integrable
	 systems. We shall use the methods and results of infinite dimensional int
	egrable systems to attack famous conjectures in the theory of finite-dimen
	sional integrable systems\, in particular concerning existence\, descripti
	on and classification of polynomially integrable geodesic flows on the tor
	us and on the sphere.\n\nWe will employ recent advances in projective geom
	etry and the theory of separation of variables to construct and study new 
	examples of multicomponent integrable systems.\n\nWhile Riemannian and Poi
	sson geometries have been very well studied\, Nijenhuis geometry is a rela
	tively new research area. In the first online week of the workshop\, an in
	troduction to Nijenhuis geometry will be given. We will present a general 
	research programme in the area and will show that it is realistic by prese
	nting first nontrivial easy-to-formulate results. We will discuss mileston
	es of the theory\, open problems\, and sketch possible applications.\n\nCo
	-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 classi
	fication for integrable two-degrees-of-freedom systems\, loop molecule met
	hod in topology of integrable systems and new classes of holonomy groups a
	nd 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 an
	d China.\n\nVladimir Matveev is a Chair of Mathematics at the University o
	f Jena. He has solved a number of major open problems in several areas of 
	Difierential Geometry and in the theory of Integrable Systems including tw
	o problems explicitly posed by Sophus Lie in 1882\, the projective Lichner
	owich conjecture and c-projective Yano-Obata conjecture. He constructed tw
	o new examples of natural integrable Hamiltonian systems on closed surface
	s\, Dullin-Matveev and Matveev-Shevchishin systems.\n\nEvent Organisers: E
	mma Carberry (University of Sydney)\, Holger Dullin (University of Sydney)
	\, Vladimir Matveev (University of Jena)\n\nOnline registration: (register
	 once for all week 1 lectures)\n\nuni-sydney.zoom.us/meeting/register/tZcp
	cuygrzktGdHKkZeeZLInZ1NsT14ahCRW
URL:https://mathematical-research-institute.sydney.edu.au/symposia/matrix-s
	mri-nijenhuis-geometry-symposium/
LOCATION:Online/ Creswick\, VIC
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