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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 detailed proof of the Demailly-Paun criterion in the projective case using concepts from G. Chen and Datar-P, while also understanding the proof outline 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) series, this hour-long presentation delivers advanced mathematical insights at the intersection of algebraic geometry and differential geometry.
