Geometric application of p-adic integration formalism

Người báo cáo:

Time: 9:30 -- 11:00, April 19th, 2023.
Venue: Room 612, A6, Institute of Mathematics, VAST
Abstract: In 2017, through the application of p-adic integration to the Hitchin integrable system, Groechenig, Wyss and Ziegler (GWZ) proved the (non-parabolic version of) topological mirror symmetry (conjectured by Hausel and Thaddeus, in which they predicts a correspondence between the Hodge numbers of the moduli spaces of SL(n)-Higgs bundles and the moduli spaces of PGL(n)-Higgs bundles). Using the same approach, in 2019, they extended their work to a general pair of Langlands dual groups $(G,hat{G})$ and obtained a new proof for Ngo's geometric stabilization theorems. In this talk, I will try to explain the work of GWZ.

  Hoạt động tuần
Hội thảo sắp diễn ra
Xuất bản mới
Peter E. Kloeden, Đoàn Thái Sơn, Hoàng Thế Tuấn, Lyapunov methods for dissipative Caputo fractional differential equations with two indices, Communications in Nonlinear Science and Numerical Simulation, Volume 157, June 2026, 109737 .
Nguyễn Hữu Kiên, Exponential sums and motivic oscillation index of arbitrary ideals and their applications, Journal de Mathématiques Pures et Appliquées, Volume 207, March 2026, 103846 .
Mai Phuoc Binh, Nguyễn Thu Hằng, Trương Thị Hiền, Trần Nam Trung, Depth stability of cover ideals, Journal of Algebraic Combinatorics, Volume 63, article number 3, (2026) .