Constructions of Motivic Elements
The purpose of this weekly half-seminar-half-discussion-session is to study several constructions of cycles and motivic elements, in particular K (1)-elements via Borcherds product. All talks will be given by participants, and each meeting will be about 120 minutes, with 80 minutes lecture, 10 minutes break in the middle, and 30 minutes discussion time.
Organizer: Liang Xiao .Time: 13:00–15:00 Tuesdays (starting February 21).Location: Jia-yi-bing Building, Room 82J12.
Syllabus (tentative)
Liang Xiao: Introduction.Wenxuan Qi: Higher regulators, I [Deninger].Wenxuan Qi: Higher regulators, II [Deninger].Hao Fu: Arithmetic theta lifting, I [Liu].Ruiqi Bai: Arithmetic theta lifting, II [Liu].Wenxuan Qi: Higher regulators, III [Deninger].Wenxuan Qi: Higher regulators, IV [Deninger].National Labor-Day Holiday. Ruiqi Bai: Arithmetic theta lifting, III [Liu].Liang Xiao: Borcherds product, I (content TBA).Liang Xiao: Borcherds product, II (content TBA).Ruiqi Bai / Hao Fu: Cycles on U(n )×U(n )-Shimura varieties, I [Liu21].Ruiqi Bai / Hao Fu: Cycles on U(n )×U(n )-Shimura varieties, II [Liu21].
References
[Deninger] C. Deninger. Higher regulators and Hecke L-series of imaginary quadratic fields: I, Invent. Math. , 96 (1989), 1–69.
[Liu] Y. Liu, PhD Thesis.
[Liu21] Y. Liu, Mixed arithmetic theta lifting for unitary groups Simons Symposia, Relative Trace Formulas (2021) 329–350.