Arithmetic geometric approach for period integrals
Project/Area Number |
20540010
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | The University of Tokyo |
Principal Investigator |
TERASOMA Tomohide The University of Tokyo, 大学院・数理科学研究科, 教授 (50192654)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 周期積分 / モチーフ / 代数的サイクル / ホッジ構造 / 保型形式 / L関数 / 高次チャウ群 / バー構成 |
Research Abstract |
We study period integrals of algebraic varieties from the view point of algebraic correspondence, algebraic cycles and special functions such as automorphic functions. By applying the method of bar construction to algebraic varieties over positive characteristic base field, we describe their p-fundamental group, and establish a basic tools for Hodge realization functors using Deligne differential graded algebras. We also prove some part of Beilinson conjectures concerning mixed elliptic motives. Concerning automorphic functions, we stablish several new Thomae type theorems related to K3 surfaces, etc.
|
Report
(4 results)
Research Products
(28 results)