Tue, August 4, 2020
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6:00pm [6:30pm] Linquan Ma, Purdue university
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Date and Time: Tuesday 4 August 2020, 6:30 pm IST / 01:00pm GMT / 09:00am EDT (joining time : 6:15 pm IST - 6:30 pm IST) Google Meet link: https://meet.google.com/pbv-ejez-eac Speaker: Linquan Ma, Purdue university Title: The deformation problem for $F$-injective singularities. Abstract: A local ring $(R,\mathfrak{m})$ is called $F$-injective if the Frobenius actions on all the local cohomology modules of $R$ supported at $m$ are injective. The deformation problem asks if $R/xR$ is $F$-injective for a regular element $x$ in $R,$ then whether $R$ is $F$-injective. I will survey this question and prove some special cases.