고등과학원 개원 25주년 기념 강연입니다.
http://25th.kias.re.kr/

Time : July 30 (Friday), 3 – 4 pm
Speaker : Prof. Caucher Birkar (Tsinghua, Cambridge)
Title : Classification of algebraic varieties
Abstract : The classification of algebraic varieties is at the heart of algebraic geometry. With roots in the ancient world the theory saw great advances in dimensions one and two in the 19th century and the first half of 20th century. It was only in the 1970-80’s that a general framework was formulated, and by the early 1990’s a satisfactory theory was developed in dimension 3. The last 30 years has seen great progress in all dimensions. In this talk I will try to give a historical perspective and discuss the theory in general terms. I will explain how the theory is based on birational transformations and moduli considerations.

Time : July 30(Friday), 5 – 6 pm
Speaker : Prof. Caucher Birkar (Tsinghua, Cambridge)
Title : Boundedness and moduli of algebraic varieties
Abstract : Boundedness and moduli spaces play important roles in algebraic geometry. The subject has evolved in different directions depending on the type of objects being parameterized. In this talk I will focus on boundedness and moduli of algebraic varieties. In particular, I will discuss Fano and Calabi-Yau varieties as well as minimal models of arbitrary Kodaira dimension.