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SUMMARY:Curved translation principle in generalized conformal calculus - J
 an Slovak (Masaryk University)
DTSTART:20240906T133000Z
DTEND:20240906T143000Z
UID:TALK219886@talks.cam.ac.uk
DESCRIPTION:The talk is based on a work in progress with Vladimir Soucek\,
  focusingon the structure of natural linear differential operators on cert
 ain almost Grassmannianmanifolds. As well known\, the Verma modules are in
  fact topological duals ofthe modules of jets of sections of the relevant 
 homogeneous vector bundles. Thus\,the structure of homomorphisms of genera
 lized Verma modules reveals the linearinvariant differential operators on 
 the corresponding Klein&rsquo\;s geometries. The Janzen-Zuckermann transla
 tion principle proved to be a great tool to understand this\, ingeneral. A
  straightforward algebraic generalization yields the semi-holomic Vermamod
 ules based on the semi-holonomic jets\, introduced in the old paper by Mik
 e Eastwoodand myself (more than 25 years back\, Journal of Algebra\, 1997)
 \, and theirlink to curved Cartan geometries was clarified there\, aiming 
 at the example of conformalRiemannian geometries. I shall remind those con
 cepts and tools in general\,and provide an overview on Grasmannian geometr
 ies\, focusing mainly on the (3\,3)-Grassmannians.
LOCATION:Seminar Room 2\, Newton Institute
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