Abstract: F-bundle is a non-archimedean version of variation of nc-Hodge structures. I will discuss the spectral decomposition theorem for F-bundles, the resulting atomic decomposition of a smooth projective variety, and new birational invariants. Part is joint with Katzarkov, Kontsevich and Pantev, part with Hinault, Zhang and Zhang.

报告人简介：余越是加州理工学院教授。曾就读于北大和巴黎高师。研究领域涉及enumerative geometry, non-archimedean geometry 和mirror symmetry。获得过Clay, ERC, NSF等奖项和研究经费。