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Seminar

Fellowship of the Ring, National Seminar: Deformation and stability of F-singularities October 29, 2020 (12:00 PM PDT - 02:00 PM PDT)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Alessandro De Stefani (UniversitĂ  di Genova)
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Deformation And Stability Of F-Singularities

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Abstract:

Given a property (P), the deformation problem asks whether, whenever x is a regular element of a ring R such that R/xR satisfies (P), then so does R. We will survey some known facts on the deformation problem for F-singularities in prime characteristic, and present some recent results on deformation of F-injectivity, obtained in joint work with Linquan Ma. In the second part of the talk, we will discuss another problem, called stability. We will present some results obtained in collaboration with Ilya Smirnov, and outline a general relation between the two problems of deformation and stability.

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Deformation And Stability Of F-Singularities

H.264 Video 25298_28856_8602_Deformation_and_Stability_of_F_Singularities.mp4