AbstractKinetic Brownian motion is a stochastic process that interpolates between the geodesic flow and Laplacian. It is also an analogue of Bismut’s hypoelliptic Laplacian. We prove the strong convergence of the spectrum of kinetic Brownian motion to the spectrum of base Laplacian for all compact Riemannian manifolds. This generalizes recent work of Kolb--Weich--Wolf on constant curvature sur...
Upcoming talks:Families of Varieties of General TypeReference:Ja´nos Koll´ar, Families of varieties of general type, 2022. Chapter 1 ∼ 8.Schedules:Lecture 1 (Sep 22, 2022): History of moduli problems.Lecture 2-3: One-parameter families.Lecture 4: Families of stable varieties.Lecture 5-6: Stable pairs over reduced base schemes.Lecture 7-8: Numerical flatness and stability criteria.Lecture 9-10...
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