ASAKURA, Masanori
 Research Field
 Algebra
 Position
 Professor
 Organization
 Department of Mathematics
 Research Activities

My research field is arithmetic geometry. I mainly work in Hodge theory, algebraic Ktheory, 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 Lfunctions.
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 padic counterpart using Hodge theory, padic Hodge theory and so on.  Papers:
 [1]M.Asakura,
On the K_1group of algebraic curves. Invent. Math.149 (2002) 661–685.  [2]M.Asakura,
Surjectivity of padic regulators on K_2 of Tate curves.
Invent. Math. 165 (2006), 267–324.  [3]M. Asakura and K. Sato,
Syntomic cohomology and Beilinson’s Tate conjecture for K_2,
J. Algebraic Geom. 22 (2013), no. 3, 481–547.  Keywords
 algebraic cycles, algebraic Ktheory, Hodge theory, mixed motives, regulators