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AG & NT lunch: Gil Livneh "Purely Inseparable Galois Morphisms and Smooth Foliations" | Einstein Institute of Mathematics

AG & NT lunch: Gil Livneh "Purely Inseparable Galois Morphisms and Smooth Foliations"

Date: 
Mon, 21/12/202013:00-14:00

Abstract: Inseparable extensions and morphisms are an important feature in positive characteristic. The study of these uses (smooth) foliations in the tangent bundle of derivations, as was first seen in a theorem of Jacobson (1944) on purely inseparable field extensions of exponent 1. In this talk we will state Jacobson's theorem and some of its generalizations: to normal domains, to regular local and non-local rings, and to morphisms of smooth varieties. We will also sketch the proof for regular local rings (the generic case), and if time permits we will see an example with a singular ring and a non-smooth foliation.  

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Join Zoom Meeting

https://huji.zoom.us/j/85259021329?pwd=RndGa0VNRjFMQ3hXYkJRb1k5ZGFkQT09

Meeting ID: 852 5902 1329
Passcode: 399582  

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Recordings can be found here: http://math.huji.ac.il/~shnidman/Lunchseminars.html