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Cohomology in algebra, geometry, physicsand statistics

Almost hypercomplex/quaternionic skew-Hermitian structures and their intrinsic torsion

Speaker’s name: 
Ioannis Chrysikos
Speaker’s affiliation: 
University of Hradec Kralove


ZOOM meeting CANCELLED because of speaker's illness
Wednesday, 23. February 2022 - 13:30 to 14:30
We discuss the  differential geometry of  4n-dimensional manifolds admitting a SO*(2n)-structure, or a SO*(2n)Sp(1)-structure, where SO*(2n) denotes the quaternionic real form of SO(2n, C).  Such G-structures form the symplectic analog of the well-known hypercomplex/quaternionic Hermitian structures, and hence we cal them  hypercomplex / quaternionic skew-Hermitian structures, respectively.  We will describe the basic data encoding such geometric structures, their intrinsic torsion, related 1st-order integrability conditions and some classification examples, if time permitted.   This talk is based on  joint works with J. Gregorovič (UHK) and H. Winther (Masaryk)

We open  ZOOM  at  13.15  for    coffee  and   close  at  15.00.
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Meeting ID: 995 9841 3922
Passcode: Galois