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◆ 9월 14일 (금) 초청강연 (고등과학원 금종해교수님)
Title: Algebraic surfaces with minimal Betti numbers
Abstract: Among algebraic curves the projective line is the unique curve with minimum genus $g=0$. In dimension 2, there are infinitely many families of surfaces with minimum invariants $p_g=q=0$. The algebraic surfaces in the title are those with the Betti numbers of the complex projective plane, and are called Q-homology projective planes. If such an algebraic surface has only quotient singularities, then its minimal resolution is a smooth surface with $p_g=q=0$. Fake projective planes and the complex projective plane are smooth examples of a Q-homology projective plane. There are many families of singular examples. I will begin with basic definitions and examples and then describe recent progress in the study of such surfaces, singular ones and fake projective planes. I will also discuss open questions.
◆ 9월 15일(토)
