Professor Jongil Park of Seoul National University will give a Super Global Mathematics Special Lecture as follows. Everyone interested is warmly invited to attend.

Dates: Monday, August 24 and Wednesday, August 26, 15:00–16:00 each day
Venue: Room 108, 1st Floor, Building No. 3, Graduate School of Science

Title: A Journey to the Algebraic Montgomery–Yang Problem

Abstract:
A normal projective surface with the same Betti numbers of
the projective plane CP^2 is called a rational homology projective plane or a Q-homology CP^2. People working in algebraic geometry and topology have long studied a Q-homology CP^2 with possibly quotient singularities.

It is well-known that it has at most five such singular points, but it is still mysterious what is the optimal upper bound for the number of quotient singular points. This is the algebraic Montgomery-Yang problem, which is one of the most famous conjectures in this field.

Recently, we announced a complete resolution of the algebraic Montgomery-Yang problem. The goal of this talk is to give an overview on it, and then we explain briefly how to resolve it.
This is a joint work with Woohyeok Jo and Kyungbae Park.