Algebraic theory of formal regular-singular connections with parameters

  • Phùng Hô Hai

    Vietnam Academy of Science and Technology, Hanoi, Vietnam
  • João Pedro dos Santos

    Institut de Mathématiques de Jussieu – Paris Rive Gauche, France
  • Phạm Thanh Tâm

    Hanoi Pedagogical University 2, Vinh Phuc, Vietnam
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Abstract

This paper is divided into two parts. The first is a review, through categorical lenses, of the classical theory of regular-singular differential systems over and , where is algebraically closed and of characteristic zero. It aims to read the existing classification results as an equivalence between regular-singular systems and representations of the group . In the second part, we deal with regular-singular connections over and , where . The picture we offer shows that regular-singular connections are equivalent to representations of , now over .

Cite this article

Phùng Hô Hai, João Pedro dos Santos, Phạm Thanh Tâm, Algebraic theory of formal regular-singular connections with parameters. Rend. Sem. Mat. Univ. Padova 152 (2024), pp. 171–228

DOI 10.4171/RSMUP/134