Algebraic surfaces with minimal Betti numbers
Báo cáo viên: JongHae Keum (Korea Institute for Advanced Study)

Thời gian: 9h30, Thứ 6, ngày 20 tháng 12 năm 2019
Địa điểm: Hội trường Tầng 2, Nhà A6, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy, Hà Nội
Tóm tắt: These are algebraic surfaces defined over the complex number field with the same Betti numbers as the complex
projective plane, and are called $Q$-homology projective planes. I will describe examples and recent progress in the study of such surfaces including the famous smooth examples, the fake projective planes.

The study of these surfaces are related to the study of circle actions of the 5-dimensional sphere in differential topology, which is called the Montgomery-Yang problem.

I will also discuss open questions on this problem

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