Uniruling projective families over ℂℙ¹ with rational (multi)sections

We will discuss a result which states that every projective family over ℂℙ¹ with at most two singular fibres is uniruled by rational (multi)sections. We obtain these rational curves by using techniques from symplectic geometry. In this talk, we will focus on (1) discussing the motivation for this work from Hodge theory and (2) presenting the geometric constructions and ideas involved in our proofs. No knowledge of symplectic geometry is required.

Please note MIT location

For more information, please see https://researchseminars.org/seminar/harvard-mit-ag-seminar