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.