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 Viết Cường, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Proportional local assignability of two-sided dichotomy spectrum of linear time-varying systems, Journal of Differential Equations Volume 477, 5 October 2026, 114592 .
Lê Tuấn Hoa, Doan Quang Tien, New bounds on Castelnuovo-Mumford regularity of monomial curves and application to sumsets, Journal of Pure and Applied Algebra Volume 230, Issue 9, September 2026, 108323 .
Trần Quang Hóa, Đỗ Trọng Hoàng, Le Van Dinh, Nguyễn Đăng Hợp, Thái Thành Nguyễn, Asymptotic depth of invariant chains of edge ideals, Journal of Combinatorial Theory, Series A Volume 224, November 2026, 106221 .