Tin tức nổi bật
Hội thảo sắp diễn ra
Gặp gỡ Toán học 2025 - Hội thảo Khoa học các nhà nghiên cứu trẻ"
Lectures on selected areas in Pure Mathematics
Hội nghị toàn quốc lần thứ VII “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy”
Xuất bản mới
The Breuil-Mézard conjecture
Người báo cáo: Bao Le Hung (Northwestern University)
Time: 9:30 -- 11:00, August 07th, 2024
Venue: Room 612, A6
Abstract: Breuil-Mézard conjectured that the Hilbert-Samuel multiplicities of deformation rings of rank n representations of the Galois group of a p-adic field K with p-adic Hodge theoretic conditions are controlled by certain decomposition numbers of the group GL_n(O_K). More recently, this phenomena has been geometrically interpreted as the (conjectural) existence of highly constrained cycles in the Emerton-Gee stack, which is a way to interpolate between different Galois deformation rings. I will give an introduction to the circle of ideas surrounding this, and describe some recent approach to construct these cycles and prove their internal structure. This is based on joint work with T. Feng and Zhongyipan Lin