ASAKURA Masanori Professor

Algebra

Organization: Department of Mathematics

Research Interest

Keywords: algebraic cycles, algebraic K-theory, Hodge theory, mixed motives, regulators

Research Activities

My research field is arithmetic geometry. I mainly work in Hodge theory, algebraic K-theory, higher Chow group, mixed motives and regulator.

The classical theory of regulator goes to Dirichlet in the 19th century who showed that it is described by the special values of L-functions.
In 1980’s Beilinson gave a vast generalization of Dirichlet’s theorem.
However still it is a widely open question. I study Beilinson’s regulator or its p-adic counterpart using Hodge theory, p-adic Hodge theory and so on.

Papers

M.Asakura,
On the K_1-group of algebraic curves. Invent. Math.149 (2002) 661–685.
M.Asakura,
Surjectivity of p-adic regulators on K_2 of Tate curves.
Invent. Math. 165 (2006), 267–324.
M. Asakura and K. Sato,
Syntomic cohomology and Beilinson’s Tate conjecture for K_2,
J. Algebraic Geom. 22 (2013), no. 3, 481–547.

Contact

asakura（at）math.sci.hokudai.ac.jp