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Event Series Member Seminar

Anti-Iitaka conjecture in positive characteristic

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

CMSA Member Seminar Speaker: Iacopo Brivio (Harvard) Title: Anti-Iitaka conjecture in positive characteristic Abstract: Given a smooth projective variety, its Kodaira dimension kappa(K_X) is an important invariant that measures the rate of growth of m-pluricanonical forms as a function of m. It serves as an higher-dimensional generalization of the genus of a Riemann surface. If f : X […]

Event Series Member Seminar

On complete Calabi-Yau metrics and Monge-Ampere equations

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

CMSA Member Seminar Speaker: Freid Tong (Harvard CMSA) Title: On complete Calabi-Yau metrics and Monge-Ampere equations Abstract: Calabi-Yau metrics are central objects in K\"ahler geometry and also string theory. The existence of Calabi-Yau metrics on compact manifolds was answered by Yau in his solution of the Calabi conjecture, but the situation in the non-compact setting is much more delicate, and many questions related to the existence […]

Event Series Member Seminar

The spectrum of some nonlinear random matrices

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

CMSA Member Seminar Speaker: Benjamin McKenna (Harvard) Title: The spectrum of some nonlinear random matrices Abstract: Modern data science often requires one to consider "nonlinear random matrices," a broad term for random-matrix models whose construction involves a nonlinear function applied entrywise. Such models are typically far from classical random matrix theory, and in principle entrywise nonlinearities can affect the […]