Duality Between the Pseudoeffective and the Movable Cone on a Projective Manifold

Explore a 52-minute lecture on the duality between pseudoeffective and movable cones on projective manifolds. Delve into the Boucksom-Demailly-Păun-Peternell conjecture, which posits that on a compact Kähler manifold X, the cone of pseudoeffective classes in H^{1,1}_ℝ(X) is dual to the cone of movable classes in H^{n−1,n−1}_ℝ(X) via the Poincaré pairing. Learn about the speaker's proof for the projective case and discuss recent developments in the field. Gain insights into how this concept relates to a non-Archimedean version of the Calabi-Yau theorem. This BIMSA-hosted talk, part of #ICBS2024, offers a deep dive into advanced topics in algebraic geometry and complex analysis.