Algebraic solutions to differential equations

Người báo cáo: Daniel Litt, University of Toronto, Canada

Time: Thursday, September 17, 14h00

Venue: Lecture hall 301, A5, Institute of Mathematics, VAST

Online participation: Join Zoom Meeting
https://us06web.zoom.us/j/82593112883?pwd=mHKEOY6K68tzbQEr0RpVVzl4BnrcaA.1
Meeting ID: 825 9311 2883
Passcode: 123456

Abstract: I'll survey a number of questions and results on classifying algebraic solutions to differential equations. These questions go back to work of Eisenstein, Kummer, and Schwarz on algebraic hypergeometric functions, and were pursued in the 20th century by Christol, Grothendieck, Katz, and others. In particular I will discuss some recent developments on classifying algebraic solutions to non-linear differential equations appearing in algebraic geometry--isomonodromy equations--and understanding their arithmetic.

Organizers: Phung Ho Hai, Doan Trung Cuong,
Co-organized by ICRTM and Geometry and Topo Department
Scientific secretary: Dao Van Thinh
Scientific advisor: Hélène Esnault
Contact: lsapm.info@math.ac.vn
  Hoạt động tuần
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)
Đinh Nho Hào, Maxim Shishlenin, Van Ba Cong, Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks, Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)