Title：The Abel-Jacobi Map for Higher Chow Complexes and its Integral Version

Speaker：Li, Muxi （USTC）

Time：2019年4月12日       下午  14:30-16:00

Room：东区管理科研楼  数学科学学院1308室

Abstract：  In 1980s, Spencer Bloch constructed a cycle-class map between Bloch's higher Chow groups and Deligne- Beilinson homology for smooth, complex quasiprojective varieties, which generalizes the classical Griffiths Abel-Jacobi map and the Beilinson regulator map. In 2004, Matt Kerr, James D. Lewis and Stefan Müller-Stach gave an explicit formula that agrees rationally with Bloch's abstract definition. A recent work adapted Kerr, Lewis and Müller-Stach's formula, proved the existence of an integral regulator on higher Chow complexes, and gave an explicit expression for it. This integral regulator can be applied to detect torsion phenomena in higher Chow groups.