Date: 18 May 14:00 - 15:30

Place: 129동 406호 또는 Zoom(ID: 826 5708 3172)

Title: The coherent-constructible correspondence for toric projective bundles

Speaker: 서평원 (Northwestern University)

Abstract:

This talk is about the Coherent-Constructible Correspondence (CCC). CCC is a version of homological mirror symmetry for toric varieties. It equates the derived category of coherent sheaves on a

toric variety and the category of constructible sheaves on a torus that satisfy some condition on singular support. Harder-Katzarkov conjectured that there should be a version of CCC for toric fiber

bundles, not only for a single toric variety. They formulated and proved their conjecture for toric P^1-bundles. I will explain how we can prove (half of) their conjecture for P^n-bundles. If time permits, I will show one way to formulate the conjecture for arbitrary toric fiber bundles.