Date:
Tue, 12/04/202218:00-19:00
Location:
Zoom
We will discuss the existence of rational (multi)sections
and unirulings for projective families f: X -> CP^1 with at most two
singular fibres. In particular, we will discuss two ingredients that
are used to construct the above algebraic curves. The first is local
symplectic cohomology groups associated to compact subsets of convex
symplectic domains. The second is a degeneration to the normal cone
argument that allows one to produce closed curves in X from open
curves (which are produced using local symplectic cohomology) in the
complement of X by a singular fibre.
and unirulings for projective families f: X -> CP^1 with at most two
singular fibres. In particular, we will discuss two ingredients that
are used to construct the above algebraic curves. The first is local
symplectic cohomology groups associated to compact subsets of convex
symplectic domains. The second is a degeneration to the normal cone
argument that allows one to produce closed curves in X from open
curves (which are produced using local symplectic cohomology) in the
complement of X by a singular fibre.