Numerical Criteria for Pointwise Positivity in Algebraic and Differential Geometry

Explore a detailed mathematical seminar presented by Dr. Vamsi Pingali from the Indian Institute of Science focusing on numerical criteria for pointwise positivity in algebraic and differential geometry. Delve into the Nakai-Moizeshon criterion for line bundle ampleness and examine various numerical criteria for generating pointwise positive forms. Learn about the Demailly-Paun criterion in the projective case through detailed proofs using concepts from G. Chen and Datar-P, while also discovering a proof sketch of the Lejmi-Szekelyhidi conjecture for the J-equation in the projective case. Part of the EMG (New equivariant methods in algebraic and differential geometry) seminar series at the Isaac Newton Institute, this advanced mathematical discussion connects fundamental concepts in algebraic geometry with modern theoretical developments.