Complex and
Algebraic Geometry
Seminar in
Southern Taiwan

THE MATHEMATICAL CONVERSATION

Perspectives that
meet in geometry.

How do analytic structures, birational transformations, and positivity reveal the geometry of complex varieties?

This seminar explores the interplay between complex surfaces, anticanonical geometry, and the birational structure of algebraic varieties. The geometry and classification of complex surfaces, including ball quotients and fake projective planes, offer a meeting point for analytic, algebraic, and arithmetic methods. Anticanonical divisors, varieties of Fano type, and Mori dream spaces bring positivity and the minimal model program into focus, while cone conjectures and Calabi–Yau pairs illuminate the relationship between birational symmetries and the geometry of the cone of divisors. The study of singularities further invites discussion of how local structures influence global classification. Through lectures and informal exchange, the meeting seeks to stimulate collaboration across these directions and engage young researchers in the shared questions that connect them.

The thematic overview describes shared research directions; individual lecture topics will be announced.