Dynamics on Wild Character Varieties

Домашня сторінка
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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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Dynamics on Wild Character Varieties

Інший ID: 2010 Mathematics Subject Classification: 34M40; 34M55
DOI:10.3842/SIGMA.2015.068

URI: http://dspace.nbuv.gov.ua/handle/123456789/147109

Посилання: Dynamics on Wild Character Varieties / E. Paul, J.P. Ramis // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ.

Підтримка: This paper is a contribution to the Special Issue on Algebraic Methods in Dynamical Systems. The full collection is available at http://www.emis.de/journals/SIGMA/AMDS2014.html. We thanks the referees for suggesting numerous improvements of a first version of this paper. The second author thanks the Japan Society for Promotion of Science (JSPS Fellowship for Research in Japan number S-14127) for his support for a research stay in Japan during November 2014, allowing him to present our results at the conference Recent developments in differential equations in the complex domain (RIMS, November 17–24, 2014) and to discuss the subjects presented in this paper with some Japanese colleagues, in particular with Yousuke Ohyama and Hidetaka Sakai.

Дата: 2015

Завантажень: 212

Dynamics on Wild Character Varieties

Анотація:

In the present paper, we will first present briefly a general research program about the study of the ''natural dynamics'' on character varieties and wild character varieties. Afterwards, we will illustrate this program in the context of the Painlevé differential equations PVI and PV.

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