ICTP Colloquium on The Birational Classification of Algebraic Varieties
Starts 30 Nov 2018 14:30
Ends 30 Nov 2018 16:00
Central European Time
Leonardo Building - Budinich Lecture Hall
Strada Costiera 11
34141 Trieste, Italy
Shigefumi Mori attended Kyoto University from where he received his B.A. in 1973, M.A. in 1975, and doctorate in 1978. He was visiting professor at Harvard during 1977-1980, at the Institute for Advanced Studies from 1981-82, at Columbia University from 1985-87, and the University of Utah for several periods.
Mori research focuses on the birational geometry of algebraic varieties. One of his main results is the 3-dimensional flip theorem, which established the 3-dimensional birational classification theory based on the work of M. Reid, X. Benveniste, Y. Kawamata, V. Shokurov, J. Kollár, Y. Miyaoka and others. He is currently interested in a fine classification of certain threefold structures, including flips, divisorial contractions, and Q-conic bundles.
Mori was awarded a Fields Medal at the 1990 International Congress in Kyoto in Japan. Mori is also President of the International Mathematical Union (IMU) until the end of 2018.
In my talk I will present my personal views on the area around my research; I have been studying algebraic varieties through rational curves on them. After I encountered a notion called an extremal ray, I became attracted to the biregular classification of special varieties, the minimal model program, and furthermore to a general theory of higher dimensional birational classification. I will present them touching some of the recent developments to a wider audience including algebraic geometers.
The colloquium will be livestreamed from the ICTP website. Light refreshments will be served after the event.