The p-primary Brauer group and the perfectoid method.
Người báo cáo: Nguyễn Mạc Nam Trung
Time: 14:00-15:45, 06/03/2026 (Friday)
Venue: Room 612, A6, Institute of Mathematics-VAST
Online (Join Zoom Meeting) link: https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1
Abstract: The main technical difficulty in purity for the Brauer group lies in controlling the p-
primary torsion. This talk presents the central new input of Česnavičius’s work: a detailed analysis of the p-primary Brauer group in the perfectoid setting. We explain why perfectoid rings naturally arise after the reductions of the first talk, and how almost purity and tilting techniques yield strong vanishing and rigidity results for Brauer groups.
References:
- [Ce19] Česnavičius. Purity for the Brauer group, Duke Mathematical Journal Vol. 168, No. 8, 2019
- [KL15] Kedlaya and R. Liu, Relative p-adic Hodge theory: Foundations, Astérisque 371,Soc. Math. France, Paris,2015.
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
23/03/26, Hội nghị, hội thảo:
Workshop on Graphs and Beyond
02/04/26, Hội nghị, hội thảo:
Hội thảo Phương trình vi phân và ứng dụng
23/04/26, Hội nghị, hội thảo:
Hội thảo TỐI ƯU VÀ TÍNH TOÁN KHOA HỌC lần thứ 24
Xuất bản mới
Florian Bridoux,
Christophe Crespelle,
Phan Thị Hà Dương,
Adrien Richard,
Dividing sum of cycles in the semiring of functional digraphs,
Natural Computing, Vol. 25, No. 1, 2026.
.
Giang Trung Hiếu,
Nguyễn Minh Trí,
Đặng Anh Tuấn,
On some Sobolev and Pólya-Szegö type inequalities with weights and applications,
Journal of Mathematical Analysis and Applications, Volume 561, Issue 2, 15 September 2026, 130591
.
Ha Dung M,
Hoàng Đức Anh,
Ngô Trung Hiếu,
On the least almost-prime in an arithmetic progression,
Mathematika 72 (2026), no. 2, Paper No. e70080.
.