CIRM – Research in Pairs — Zariski Density and Algorithms for Infinite Linear Groups

Expired
Dates : 06 April 2020 » 17 April 2020

Place : CIRM (Marseille Luminy)
France

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Organizer : CIRM – Centre International de Rencontres Mathématiques

Mathematics and Statistics; Engineering and Technology;
Keywords: Group Theory, Mathematics, Design
Description :

This proposal aims to develop further a novel domain of computational group theory: the design of algorithms and software for finitely generated linear groups over infinite fields. Our research is motivated by the applications of linear groups in many areas of mathematics, and the high demand for algorithms to carry out practical computations. We plan to advance our recently obtained computational techniques, based on exploring Zariski density and the strong approximation property. Specifically, we will complete the design of algorithms for isometry groups over infinite domains, and apply implementations of these algorithms to solve hard open problems via computer-aided experimentation. The latter includes experiments with symplectic hypergeometric monodromy groups. All results will be new. Moreover, the algorithms will be the first-ever of their kind, satisfying the demand for practical computational methods in the areas concerned.


CIRM – Research in Pairs — Zariski Density and Algorithms for Infinite Linear Groups to be held in CIRM (Marseille Luminy), France between 06 April 2020 and 17 April 2020. It is organised by CIRM – Centre International de Rencontres Mathématiques. It covers specific areas of Mathematics and Statistics such as 0. Visit the website of the conference for more detailed information or contact the organizer for specific questions.
Add to calendar 2020-04-06 2020-04-17 Europe/London CIRM – Research in Pairs — Zariski Density and Algorithms for Infinite Linear Groups https://www.sciencedz.net/en/conference/68730-cirm-ndash-research-in-pairs-zariski-density-and-algorithms-for-infinite-linear-groups CIRM (Marseille Luminy) - France CIRM – Centre International de Rencontres Mathématiques

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