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Seminar

Chancellor Course: Regularity theory à la De Giorgi for elliptic, parabolic and kinetic equations November 13, 2025 (09:30 AM PST - 11:00 AM PST)
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Location: Evans 3
Speaker(s) Cyril Imbert (Centre National de la Recherche Scientifique (CNRS); Université Paris Cité)
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The last stone to the solution of Hilbert’s nineteenth problem was put by E. De Giorgi and J. Nash by proving that solutions of elliptic and parabolic equations with rough coefficients are Hölder continuous. Their result was reformulated in terms of a Harnack inequality by J. Moser. Recently, this theory was developed in the context of kinetic equations. The goal of this series of lectures is to present it.

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