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）

摘要:  

• Pretalk: Projective varieties and their Hodge theory

• 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

• 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).