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UID:5baa9442-3f1b-4623-a415-93561724d182
SUMMARY:MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems
DTSTAMP:20220520T133000Z
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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