The motivic Satake equivalences

Người báo cáo: Phạm Khoa Bằng (Hong Kong University of Science and Technology)

Thời gian: 16:30, 04/06/2026

Địa điểm: Phòng 612, nhà A6

Link Online: (Join Zoom Meeting) tại https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

Tóm tắt: The geometric Satake equivalence provides an equivalence between (equivariant) perverse sheaves on the affine Grassmannian of a given reductive group and the category of representations of its Langlands dual group. After the first complete proof due to Mirkovic-Vilonen, there are several approaches to the geometric Satake equivalence. In this talk, I will present to the audience two motivic enhancements of the geometric Satake: the one by Richarz-Scholbach using mixed Tate motives and the one by the speaker using perverse Nori 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)