Speaker: Shigeru Mukai (former director of Research Institute for Mathematical Sciences (RIMS) at Kyoto University)

Time: 16:00 - 17:00 p.m., Nov 19, 2024, GMT+8

Venue: Lecture Hall (2nd Floor), Jiayibing Building, 82# Jingchunyuan, PKU

Abstract: 

A compact complex manifold is prime Fano if c1(X) is positive and generates the 2nd integral cohomology group. In dimension 3, there are 10 deformation types, with parameter g varying from 2 to 10 and 12, by Fano-Iskovskih. The first half are easy to describe but seem "deeply" irrational. The latter half are linear sections of various Grassman varieties associated to Dynkin diagrams D5, A5, C3, G2 for g<12 and deformations of the Umemura compactification of SL(2)/Icosa for g- 12. After a brief survey I will explain a recent discovery on their relation with supersingular K3 surfaces, which are mostly obtained from the (Bring-)Reid sextic surface modulo 2, 3 and 5.

Source: Beijing International Center for Mathematical Research, PKU