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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Xuất bản mới
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5
Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input, SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)
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