## Geometry and Topology

•  Pyongwon Suh, Northwestern University
•  The coherent-constructible correspondence for toric projective bundles
•  11/24/2020
•  2:50 PM - 3:40 PM
•  Online (virtual meeting) (Virtual Meeting Link)
•  Honghao Gao (gaohongh@msu.edu)

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. Recently, Harder-Katzarkov conjectured that there should be a version of CCC for toric fiber bundles and they proved their conjecture for $\mathbb{P}_1$-bundles. I will explain how we can prove (half of) their conjecture for $\mathbb{P}_n$-bundles. If time permits, I will give a more precise version of the conjecture for arbitrary toric fiber bundles.

## Contact

Department of Mathematics
Michigan State University