Algebraic integrable connections with bounded irregularity

Time: 9:00 - 10:00, November 05, 2025

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: According to the higher dimensional non-abelian Hodge theory, any algebraic vector bundle with an integrable connection on a quasi-projective complex variety underlies a wild harmonic bundle. In particular, an algebraic Lagrangian cover is attached to an integrable connection. It is useful to understand the irregularity of the integrable connection. In this talk, we shall discuss an application to the study of boundedness of the family of algebraic integrable connections with bounded irregularity.