Complex Structures on S^6

Abstract: A recent manuscript written by Claude under the direction of Levent Alpoge constructs a 1-parameter family of compact complex threefolds diffeomorphic to S^6. I will describe the main geometric ideas behind the construction and outline the proof. If time permits, I will remark on possible future research directions.

algebraic geometrynumber theory

Audience: advanced learners

( paper )

Boston University Number Theory Seminar