Benjamini-Schramm Convergence of Locally Symmetric Spaces
Author: Mikołaj Frączyk
Publisher:
Published: 2017
Total Pages: 0
ISBN-13:
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Author: Mikołaj Frączyk
Publisher:
Published: 2017
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Pierre-Emmanuel Caprace
Publisher: Cambridge University Press
Published: 2018-02-08
Total Pages: 368
ISBN-13: 1108351948
DOWNLOAD EBOOKThis collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.
Author: Sirakov Boyan
Publisher: World Scientific
Published: 2019-02-27
Total Pages: 5396
ISBN-13: 9813272899
DOWNLOAD EBOOKThe Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author: Clara Löh
Publisher: Springer Nature
Published: 2020-03-14
Total Pages: 114
ISBN-13: 3030442209
DOWNLOAD EBOOKThis book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers. Group homology integrates group actions into homological structure. Coefficients based on probability measure preserving actions combine ergodic theory and homology. An example of such an interaction is provided by L2-Betti numbers: these invariants can be understood in terms of group homology with coefficients related to the group von Neumann algebra, via approximation by finite index subgroups, or via dynamical systems. In this way, L2-Betti numbers lead to orbit/measure equivalence invariants and measured group theory helps to compute L2-Betti numbers. Similar methods apply also to compute the rank gradient/cost of groups as well as the simplicial volume of manifolds. This book introduces L2-Betti numbers of groups at an elementary level and then develops the ergodic point of view, emphasising the connection with approximation phenomena for homological gradient invariants of groups and spaces. The text is an extended version of the lecture notes for a minicourse at the MSRI summer graduate school “Random and arithmetic structures in topology” and thus accessible to the graduate or advanced undergraduate students. Many examples and exercises illustrate the material.
Author: William Munger Boothby
Publisher:
Published: 1972
Total Pages: 512
ISBN-13:
DOWNLOAD EBOOKAuthor: Pierre Charollois
Publisher: Springer Nature
Published: 2021-05-17
Total Pages: 324
ISBN-13: 3030652033
DOWNLOAD EBOOKThis book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” 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 polylogarithms • Analytic torsions • Chabauty-Kim theory • Local Grothendieck-Riemann-Roch theorems • Periods • Syntomic regulator The book contains contributions 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.
Author: Youichi Saigusa
Publisher:
Published: 1971
Total Pages: 162
ISBN-13:
DOWNLOAD EBOOKAuthor: Ottmar Loos
Publisher:
Published: 1969
Total Pages:
ISBN-13: 9780805366228
DOWNLOAD EBOOKAuthor: Birgit Speh
Publisher:
Published: 2003
Total Pages: 23
ISBN-13:
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