SIMIS Seminar on Algebraic Geometry: Higher Chow Groups with Finite Coefficients and Refined Unramified Cohomology

Speaker:  Lin Zhou (Leibniz University Hannover)

Abstract: Schreieder’s refined unramified cohomology, which extends the unramified cohomology and Kato homology, currently plays an important role in the study of integral algebraic cycles; e.g., the (integral) Hodge/Tate conjecture and Griffith groups. In this talk, I will show that Bloch’s higher cycle class map with finite coefficients of a quasi-projective equi-dimensional scheme over an arbitrary field fits naturally in a long exact sequence involving refined unramified cohomology. Building upon this exact sequence, I will show that the refined unramified cohomology is a generalized homology theory and obtain some conclusions for algebraic cycles. Joint work with Kees Kok.

Time:  10:00-11:00 a.m.,  Friday, Mar. 7

Location: Room  1510, SIMIS