Venue: Lecture Hall of IASM, ZJU

Time: 16:00-17:20, September 15

Speaker: 邓昊骅 Haohua Deng (Dartmouth College)

• Pretalk: Projective varieties and their Hodge theory

• Abstract: 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.

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• Research talk: Recent breakthroughs on completing general period mappings

• Abstract: 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).

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