Cohomology in algebra, geometry, physicsand statistics

Symmetry, holonomy and special geometries

Various types of geometrical structures can be described via their so
called structure group. This becomes especially apparent when studying
homogeneous spaces. Those spaces are of the form G/H where G is a
transitive symmetry group and H is the isotropy subgroup which plays the
role of structure group. A natural question is to ask whether we can
enlarge or reduce the structure group while preserving the geometrical
structure. Particular answer is given by the notion of holonomy that
provides the smallest possible structure group H. We will review these
notions and demonstrate them by examples of special Riemannian
geometries.

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We open ZOOM at 11.15 and close  at 13.00
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https://cesnet.zoom.us/j/99598413922?pwd=TjZLclhIaWVjOUpHSjdmbXRDMGt4dz09

Meeting ID: 995 9841 3922

Passcode: Kodaira