Titlebook: Noncommutative Geometry and Number Theory; Where Arithmetic mee Caterina Consani,Matilde Marcolli Textbook 2006 Vieweg+Teubner Verlag | Spr

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Three examples of non-commutative boundaries of Shimura varieties,’s real multiplication program proposed in [.]. Secondly, we wanted to find nice higher dimensional analogs of the non-commutative modular curve studied by Manin and Marcolli in [.]. These higher dimensional objects, that we call . or ., are double cosets spaces of the form г/.(ℝ)/. (.), where . is

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Holomorphic bundles on 2-dimensional noncommutative toric orbifolds,tional rotation algebra. We prove that the category of such holomorphic bundles is abelian and its derived category is equivalent to the derived category of modules over a finite-dimensional algebra ∧. As an application we finish the computation of ..-groups of the crossed product algebras describin

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Anne-Marie Aubert,Paul Baum,Roger PlymenraBen, Ka­ nll.len oder Eisenbahnen erfordert: 1. dieErmittelungdesWinkels, den die Mittellinien bilden, 2. die Berechnung der Tangenten vom Winkel­ punkt bis zum Beriihrungspunkt, des Abstandes del> Bogenscheitels vom Vinkelpunkt, der Koordi­ naten des Scheitels und der Bogenlll.nge, 3. unter Umstl

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Introduction to Hopf-Cyclic Cohomology,We review the recent progress in the study of cyclic cohomology in the presence of Hopf symmetry

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The non-abelian (or non-linear) method of Chabauty,This article is a brief introduction to the ideas surrounding the . that provides an approach to Diophantine finiteness theorems in the spirit of the method of Chabauty.

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The residues of quantum field theory - numbers we should know,We discuss in an introductory manner structural similarities between the polylogarithm and Green functions in quantum field theory.

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On harmonic maps in noncommutative geometry,We report on some recent work on harmonic maps and non-linear .-models in noncommutative geometry. After a general discussion we concentrate mainly on models on noncommutative tori.

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Aspects of Mathematicshttp://image.papertrans.cn/n/image/667193.jpg