A local trace formula for the local twisted Gan-Gross-Prasad conjecture

Người báo cáo: Lê Nhật Hoàng


Thời gian: 16h30 - 18h00, thứ 5 ngày 14 tháng 9.

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: The local Gan-Gross-Prasad (GGP) conjecture studies a family of restriction problems for classical groups and proposes precised answers to these problems using the local Langlands correspondence. It also has a twisted variant in the Fourier-Jacobi case. In this talk, I will present my ongoing work for the tempered part of the local twisted GGP conjecture in the "equal quadratic extension case". The strategy is to adapt Waldspurger and Plessis's method to develop a local trace formula and compare its spectral and geometric sides, as well as compare the original trace formula and a twisted trace formula.

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Xuất bản mới
La Văn Thịnh, Hoàng Thế Tuấn, On the Mittag–Leffler Stability of Mixed-Order Fractional Homogeneous Cooperative Delay Systems, Vietnam Journal of Mathematics, Volume 54, pages 773–789 (2026)
Đỗ Minh Thắng, Sonja Hannibal, Arnulf Jentzen, Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation, Journal of Mathematical Analysis and Applications, 564 (2026) 130724
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