広島大学ミニシンポジウム

2007年10月12日(金)
広島大学理学部B301号室

10:00-10:45
A Motivic approach to Hodge Conjecture
Shun-ichi Kimura (Hiroshima University)

11:05-12:05
On the second \ell-adic Abel-Jacobi map
Kenichiro Kimura (Tsukuba University)
The comlex Abel-Jacobi map associates an extension of Hodge structures to an algebraic cycle.
There is an $\ell$-adic analogue of this map which associates an extension of $\ell$-adic Galois
representations to an algebraic cycle. There are higher versions for the $\ell$-adic A-J map
which do not have complex counterpart. I will give a description of the second $\ell$-adic A-J
map as a 2-extenson of $\ell$-adic cohomologies.
14:00-15:00
A new method for constructing indecomposable K_1 of elliptic surfaces
of Mordell-Weil rank zero

Masanori Asakura (Kyushu University)
15:20-16:20
Discrete tomography and Hodge cycles
Fumio Hazama (Tokyo Denki University)
We study a problem in discrete tomography through the theory of distributions, and show that
there is an intimate connection between the problem and the study of the Hodge cycles on abelian
varieties of CM-type.
16:40-17:40
Cycles on Varieties Over Subfields of the Complex Numbers
James Lewis (University of Alberta)
Abstract:
In the context of algebraic and more generally cubic equivalence, we arrive at infinite rank results
pertaining to spaces of algebraic cycles over certain subfields of the complex numbers, refining
the recent works of Griffiths-Green-Paranjape and M. Saito.

世話人: 木村 俊一(広島大学)