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Quasi-isometry and Rigidity

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Mathematical Analysis and Applications in Modeling (ICMAAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 302))

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Abstract

This is a brief exposition on the quasi-isometric rigidity of irreducible lattices in Lie groups. The basic notions in coarse geometry are recalled and illustrated. It is beyond the scope of these notes to go into the proofs of most of the results stated here. We shall be content with pointing the reader to standard references for detailed proofs. These notes are based on my talk in the International Conference on Mathematics and its Analysis and Applications in Mathematical Modelling held at Jadavpur University, Kolkata, in December 2017.

The author was partially supported by a XII Plan Project, Department of Atomic Energy, Government of India.

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Author information

Authors and Affiliations

  1. Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam, Chennai, 603103, India

    Parameswaran Sankaran

  2. Institute of Mathematical Sciences, (HBNI), CIT Campus Taramani, Chennai, 600113, India

    Parameswaran Sankaran

Authors
  1. Parameswaran Sankaran
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Correspondence to Parameswaran Sankaran .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

    Priti Kumar Roy

  2. College of Science, Beijing Technology and Business University, Beijing, China

    Xianbing Cao

  3. College of Mathematics and Information Science, Henan Normal University, Xinxiang, Xinjiang, China

    Xue-Zhi Li

  4. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

    Pratulananda Das

  5. Harish-Chandra Research Institute, Allahabad, Uttar Pradesh, India

    Satya Deo

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Sankaran, P. (2020). Quasi-isometry and Rigidity. In: Roy, P., Cao, X., Li, XZ., Das, P., Deo, S. (eds) Mathematical Analysis and Applications in Modeling. ICMAAM 2018. Springer Proceedings in Mathematics & Statistics, vol 302. Springer, Singapore. https://doi.org/10.1007/978-981-15-0422-8_9

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