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
著者
書誌事項
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
（Contemporary mathematics, 783）
American Mathematical Society, c2023
- : pbk
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注記
Other editors: Michael Kapovich, Alex Kontorovich, Peter Sarnak, Richard Schwartz
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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
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