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Дифференциальная геометрия и приложения
4 сентября 2017 г. 16:45–18:20, г. Москва, ГЗ МГУ, ауд. 16-10
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Kissing spheres and group combinatorics in complex hyperbolic geometry
Б. Н. Апанасов University of Oklahoma
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Эта страница: | 121 |
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Аннотация:
We discuss some connections between sphere packing (kissing spheres) in
Euclidean spaces $\mathbb R^n$ (or spheres $S^n={\mathbb R^n} \cup{\infty}$)
and possible “block-buildings” in the complex (or
quaternionic) hyperbolic geometry and CR-geometry at its infinity. This
approach grows from several successful applications of our method of
block-building of real hyperbolic manifolds/orbifolds, their
deformations, unusual ergodic actions of their fundamental groups
(hyperbolic lattices) and related cobordisms.
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