On a comparison theorem for cohomology of curves

Người báo cáo: Võ Quốc Bảo


Thời gian: 16:30 - 18:00, thứ năm, ngày 07/09/2023

Hình thức: Offline tại phòng 612 A6 và online qua google meet, cụ thể https://meet.google.com/yep-kbzk-eao?pli=1&authuser=1

Tóm tắt: In 2006, H. Esnault and P.H. Hai constructed the map between the group cohomology of the Tannaka group scheme H^n(pi(X/K), V) and algebraic de Rham cohomology H^n_dR(X/K, (V,
abla)) via Tannaka duality. They also gave a comparison between these cohomologies for n=0,1. In this talk, we extend this result to all dimensions of the group cohomology of the Tannaka fundamental group of projective smooth curves with genus g ≥ 1 (or abelian varieties over K).

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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)
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)