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Seminar on Arithmetic Geometry and Algebraic Groups

This seminar is focusing on various research topics in arithmetic geometry with special regard to algebraic groups, homogeneous spaces and related structures or problems.

Normally, one or two online talks are expected to be scheduled per month. The date and time of each talk will be flexibly arranged according to the speaker’s convenience.

The online talks are usually run via Zoom Meeting or sometimes Voov Meeting (or equivalently, Tencent meeting in China mainland). Please read the instructions on downloading and using Voov here.

If you want to receive annoucements of the seminar talks, please email one of the organizers.

Organizers

CAO Yang (Shandong Univ., Jinan);     yang###1988@email.sdu.edu.cn   ###=Yang’s family name

HU Yong (Southern Univ. Sci. Tech., Shenzhen) ;     ###@sustech.edu.cn   ###=first 3 letters of “huyong”

HUANG Zhizhong (Chinese Acad. Sci., Beijing) ;     zhizhong.#####@yahoo.com   #####=Zhizhong’s family name

LEE Ting-Yu (Taiwan Univ., Taiwan);     tingyu###@ntu.edu.tw   ###=Tingyu’s family name

TIAN Yisheng (Harbin Institute Tech., Harbin);     tys####@mail.ustc.edu.cn   ####=first 4 letters of “mathematics”

XU Fei (Capital Normal Univ., Beijing);     xuf##@math.ac.cn   ##=last 2 letters of “fei”

Past sessions:     2022 Session     2023 Session     2024 Session

2025 Spring Session

The next talk on Monday, April 28, 2025, 16:30--17:30 (Beijing Time).


Date: 28.04.2025 (dd.mm.yyyy) Time: 16:30–17:30 (Beijing Time)

or

Date: 28.04.2024 (dd.mm.yyyy) Time: 10:30–11:30 (Central European Summer Time)

Zoom Meeting ID: available upon request

Speaker: Tim Santens (University of Cambridge)

Title: Leading constant in Malle’s conjecture

Abstract: *Let G be a finite permutation group, Malle has put forward a conjecture on the number of G-extensions of a number field of bounded discriminant. In this talk I will discuss recent efforts to interpret Malle’s conjecture as a form of Manin’s conjecture on rational points of bounded height for the stack BG. Based on this analogy me and Loughran have given a conjectural interpretation of the leading constant in Malle’s conjecture. *

Ref:

D. Loughran and T. Santens, Malle’s conjecture and Brauer groups of stacks