Exceptional motives and exceptional local systems

Người báo cáo: Daniel Litt (University of Toronto)

Time: 14:00, August 3, 2026

Place: Room 612, Building A6

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.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)