Titlebook: Geometry and Dynamics of Groups and Spaces; In Memory of Alexand Mikhail Kapranov,Yuri Ivanovich Manin,Leonid Potya Book 2008 Birkhäuser Ba

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On Nori’s Fundamental Group SchemeThe aim of this note is to give a structure theorem on Nori’s fundamental group scheme of a proper connected variety defined over a perfect field and endowed with a rational point.

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Kleinian Groups in Higher DimensionsThis is a survey of higher-dimensional Kleinian groups, i.e., discrete isometry groups of the hyperbolic .-space ℍ. for . ≥ 4. Our main emphasis is on the topological and geometric aspects of higher-dimensional Kleinian groups and their contrast with the discrete groups of isometry of ℍ..

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https://doi.org/10.1007/978-3-7643-8608-5Chern character; Congruence; Dirac operator; Fundamental group; Kleinian group; Lattice; Minimal surface; g

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Analytic Topology of Groups, Actions, Strings and Varietiesed groups, group cohomology, Kazhdan groups, actions of groups on manifolds, superrigidity, fundamental groups of Kähler and quaternionic Kähler manifolds and conformal field theory. Chapters 1 and 3 treat analytical aspects of geometry of finitely generated groups. Chapter 2 uses Analysis to study

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The Hypoelliptic Dirac Operatoroperator acting on the total space . of the tangent bundle .. This construction is parallel to the deformation of the de Rham Hodge operator we had obtained in a previous work. If . is complex and Kähler, we produce this way a deformation of the Hodge theory of the corresponding Dolbeault complex..B

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Generalized Operads and Their Inner Cohomomorphismse then construct inner cohomomorphism objects in their categories (and categories of algebras over them). We argue that they provide an approach to symmetry and moduli objects in non-commutative geometries based upon these “ring-like” structures. We give a unified axiomatic treatment of generalized

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The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is InfiniteFel’shtyn and Hill [.] conjectured that if . is injective, then .(.) is infinite. In this paper, we show that the conjecture holds for the Baumslag-Solitar groups .(.), where either |.| or |.| is greater than 1 and |.| ≠ |.|. We also show that in the cases where |.| = |.| ή 1 or . = −1 the conjectur