Algebraic integrable connections with bounded irregularity

Người báo cáo: Takuro Mochizuki (Research Institute for Mathematical Sciences, Japan)

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.

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Lê Xuân Thanh, Lê Dũng Mưu, Nguyễn Văn Quý, A Dual Approach Based Extragradient-Type Method for Solving Quasi-Equilibrium Problems, Journal of Optimization Theory and Applications, Volume 208, article number 59, (2026) .
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