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Titlebook: Arithmetic L-Functions and Differential Geometric Methods; Regulators IV, May 2 Pierre Charollois,Gerard Freixas i Montplet,Vincen Conferen

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Object-Oriented Application Design, This has many interesting arithmetic and geometric consequences. The formula for the regulator is expressed in terms of the classical polyogarithm functions. In this paper, we give a survey of the additive dilogarithm and the several different versions of the weight two regulator in the infinitesim
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Conference proceedings 2021 that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are:.• Additive polyloga
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Conference proceedings 2021ions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk..
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,Higher Displays Arising from Filtered de Rham–Witt Complexes,nd can describe it explicitly by a relative version of the Nygaard filtration on the de Rham–Witt complex associated to a lifting of . over .. We prove that there is a crystal of relative displays if moreover the mod . reduction of . has a smooth and versal deformation space.
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