Computational aspects of discrete subgroups of Lie groups : Virtual Conference Computational Aspects of Discrete Subgroups of Lie Groups, June 14-18, 2021, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island

Author(s)

• Detinko, Alla
• Kapovich, Michael
• Kontorovich, Alex V.
• Sarnak, Peter
• Schwartz, Richard Evan
• Virtual Conference on Computational Aspects of Discrete Subgroups of Lie Groups

Bibliographic Information

Computational aspects of discrete subgroups of Lie groups : Virtual Conference Computational Aspects of Discrete Subgroups of Lie Groups, June 14-18, 2021, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island

Alla Detinko ... [et al.], editors

（Contemporary mathematics, 783）

American Mathematical Society, c2023

• : pbk

Note

Other editors: Michael Kapovich, Alex Kontorovich, Peter Sarnak, Richard Schwartz

Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, and hosted by the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties. It is centered on computing with discrete subgroups of Lie groups, which impacts many different areas of mathematics such as algebra, geometry, topology, and number theory. The workshop aimed to synergize independent strands in the area of computing with discrete subgroups of Lie groups, to facilitate solution of theoretical problems by means of recent advances in computational algebra.

Table of Contents

D. Gabai, R. Meyerhoff, N. Thurston, and A. Yarmola, Enumerating Kleinian groups W. A. de Graaf, Exploring Lie theory with GAP A. S. Detinko, D. L. Flannery, and A. Hulpke, Freeness and $S$-arithmeticity of rational Mobius groups J. Gilman, Computability models: Algebraic, topological and geometric algorithms W. M. Goldman, Compact components of planar surface group representations A. Hulpke, Proving infinite index for a subgroup of matrices M. Kapovich, Geometric algorithms for discreteness and faithfulness M. Kapovich, A. Detinko, and A. Kontorovich, List of problems on discrete subgroups of Lie groups and their computational aspects A. Mark, J. Paupert, and D. Polletta, Picard modular groups generated by complex reflections J. M. Riestenberg, Verifying the straight-and-spaced condition T. N. Venkataramana, Unipotent generators for arithmetic groups

by "Nielsen BookData"

Details

• NCID: BD0136089X
• ISBN:
  • 9781470468040
• LCCN: 2022042151
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: [Providence, R.I.]
• Pages/Volumes: viii, 153 p.
• Size: 26 cm
• Subject Headings:
  • LCSH : Lie groups -- Congresses
  • LCSH : Group theory -- Congresses
  • LCSH : Computer algorithms -- Congresses
• Parent Bibliography ID:
  • BA00009927