Seminario / Mori
Lunedì 26 novembre 2018, ore 16.30, in Aula Chisini,
Kyoto University Institute of Advanced Study
BIRATIONAL CLASSIFICATION OF ALGEBRAIC VARIETIES
Abstract: 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 got 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.
Tè: ore 16.00, Sala Rappresentanza
ABOUT THE SPEAKER: Shigefumi Mori is a superstar in the realm of algebraic geometry who has played a leading role in the classification of algebraic varieties of dimension 3. He was awarded the Fields Medal in 1990 for a series of fundamental contributions over the twelve-year span beginning with his 1978 solution of the Hartshorne conjecture on complete algebraic varieties with ample tangent bundles (they must be projective spaces). In 1981, together with Shigeru Mukai, Mori completed the classification of Fano 3-folds. In addition, Mori initiated the Minimal Model Program (also known as Mori’s Program) which seeks to understand the birational geometry of higher dimensional varieties in an analogous way to that present for algebraic surfaces. His 1990 paper on the Flip Theorem and existence of minimal models also earned him the AMS Cole Prize in Algebra in that year. In addition, Mori has received many prizes and honors from the Japanese Academy and Japanese Mathematical Society, among others. Mori completed his Ph.D in 1978 at the University of Kyoto, under the supervision of Masayoshi Nagata and rose to the rank of Full Professor in 1988 at the University of Nagoya. Mori has held visiting positions at Harvard, Columbia and the IAS (Princeton). Mori returned to Kyoto University in 1990 as a Chaired Professor and is currently a member of the Kyoto University Institute of Advanced Study and President of the International Mathematical Union.