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Explore a comprehensive lecture on étale coverings of varieties over algebraically closed fields in positive characteristic. Delve into an overview of recent work conducted by Vasudevan Srinivas, Hélène Esnault, and others, focusing on finiteness questions for étale coverings with bounded wild ramification. Examine the specific case of coverings f : Y → X, with additional constraints on boundary ramification in non-proper scenarios. Gain insights into open problems and ongoing research related to this theme. This 1-hour 14-minute talk, presented by Vasudevan Srinivas from SUNY Buffalo at the Institut des Hautes Etudes Scientifiques (IHES), offers a deep dive into advanced mathematical concepts at the intersection of algebraic geometry and number theory.
