数论与表示论讨论班:Mattia Cavicchi Bloch–Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces

 


地点:数学高等研究院报告厅


时间: 5月27日,15:30 - 16:30


主讲人:Mattia Cavicchi(勃艮第大学)


摘要:When a motivic L-function L(M,s) vanishes at the central point of its functional equation, conjectures of Bloch and Beilinson predict the existence of a non-trivial extension of a suitable twist of the motive M by the unit motive. When M arises from certain Hecke characters of a quadratic imaginary imaginary field F, we will describe a construction of candidates for the Hodge realization of the predicted extensions, using the cohomology of Picard modular surfaces attached to F. This is joint work with Jitendra Bajpai.