Hodge Theory of Cubics

• Instructor: Chenglong Yu
• Time: MW 15:20-16:55pm (Note the time change, we have class on 2/24)
• Place: Ning Zhai W11
• Topics: We will cover the following topics: Fano scheme of lines, cubic surfaces and 27 lines, cubic threefolds and intermediate Jacobians, cubic fourfolds and related hyperkahler varieties, Torelli theorems for cubic threefolds and fourfolds, integrable systems associated with cubic fourfolds.

  Evolving plan for the coming lectures

• 2/23: introduction, betti numbers, Hodge structure, cubic curves, Picard lattice of cubic surfaces.
• 2/24: 27 lines on cubic surfaces.
• 3/1: Fano scheme of lines.