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        "event_title":"Algebraic Geometry Learning Seminar: Stable irrationality of cubic threefolds",
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        "combined_title":"Algebraic Geometry Learning Seminar: Stable irrationality of cubic threefolds: Shend Zhjeqi",
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        "description":"Explain Voisin\u2019s work, which together with the non-algebraicity of the minimal class on the intermediate Jacobian implies stable irrationality of very general cubic threefolds.",
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        "event_title":"DE Seminar: Nonuniqueness of solutions to the two-dimensional Euler equations with integrable vorticity",
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        "combined_title":"DE Seminar: Nonuniqueness of solutions to the two-dimensional Euler equations with integrable vorticity: Anuj Kumar (UC Davis)",
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        "description":"Yudovich established the well-posedness of the two-dimensional incompressible Euler equations for solutions with bounded vorticity. DiPerna and Majda proved the existence of weak solutions with vorticity in L^p ( p > 1).  A celebrated open question is whether the uniqueness result can be generalized to solutions with L^p vorticity. In this talk, we resolve this question in negative for some p > 1. To prove nonuniqueness, we devise a new convex integration scheme that employs non-periodic, spatially-anisotropic perturbations, an idea that was inspired by our recent work on the transport equation. To construct the perturbation, we introduce a new family of building blocks based on the Lamb-Chaplygin dipole. This is a joint work with Elia Bru\u00e8 and Maria Colombo.",
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