WEEKLY ACTIVITIES

On a comparison theorem for cohomology of curves
Người báo cáo: Võ Quốc Bảo (Viện Toán học)

Thời gian: 16:30 - 18:00, thứ năm, ngày 07/09/2023

Hình thức: Offline tại phòng 612 A6 và online qua google meet, cụ thể https://meet.google.com/yep-kbzk-eao?pli=1&authuser=1

Tóm tắt: In 2006, H. Esnault and P.H. Hai constructed the map between the group cohomology of the Tannaka group scheme H^n(pi(X/K), V) and algebraic de Rham cohomology H^n_dR(X/K, (V,
abla)) via Tannaka duality. They also gave a comparison between these cohomologies for n=0,1. In this talk, we extend this result to all dimensions of the group cohomology of the Tannaka fundamental group of projective smooth curves with genus g ≥ 1 (or abelian varieties over K).

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