Exceptional motives and exceptional local systems

Người báo cáo: Daniel Litt (University of Toronto)

Time: 14:00, August 3, 2026

Place: Room 301, Building A5

Online Zoom link:  https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

Abstract: In 1994, Serre asked if there exist motives whose Galois group is an exceptional algebraic group. The answer is now known to be "yes" for all simple exceptional groups, due to the work of many, many people over the last 30 years. For all simple exceptional groups G
except for E_6, more was known: there in fact exist motivic local systems with monodromy group G. I'll explain joint work with Thomas Kramer and Marco Maculan which produces motivic E_6-local systems from the classical geometry of cubic threefolds. As a byproduct, this yields a new construction of E_6-motives.

  Hoạt động tuần
Xuất bản mới
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
Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input, SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)
Đinh Nho Hào, Maxim Shishlenin, Van Ba Cong, Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks, Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)