几何与拓扑讨论班：邓昊骅 Recent breakthroughs on completing general period mappings
地点：数学高等研究院报告厅
时间：9月15日，16:00 - 17:20
报告人：邓昊骅 Haohua Deng（达特茅斯学院）
Pretalk: Projective varieties and their Hodge theory
摘要: In this pretalk I will briefly explain why Hodge-theoretic methods are fundamental in the study of projective varieties and their moduli. Elementary examples will be provided. No backgrounds beyond graduate-level complex analysis and algebraic topology will be assumed.
Research talk: Recent breakthroughs on completing general period mappings
摘要: Since Griffiths' question in the 70's, it is a long-standing problem to find a completion of general period mapping with significant geometric and Hodge-theoretic meaning. The classical theories on the compactification of locally symmetric varieties by Satake—Baily--Borel and Mumford et al provide such completions to a very limited set of classical cases, while the problem has been almost completely open for non-classical cases until recent years. I will report the latest progress in this direction including several of my papers. Collaborators include Chongyao Chen (IMFP Shanghai), Colleen Robles (Duke), Jacob Tsimerman (Toronto).
