Speaker: Alessandro De Stefani, Università di Genova, Italy.
Date/Time: 15 April 2022, 5:30pm IST/ 12:00pm GMT / 8:00am ET (joining
time 5:15pm IST).
Gmeet link: meet.google.com/qxw-gahn-kiw
Title: A uniform Chevalley theorem for direct summands in mixed
characteristic.
Abstract: Let R be a graded direct summand of a positively graded
polynomial ring over the p-adic integers. We exhibit an explicit constant
D such that, for any positive integer n and any homogeneous prime ideal Q
of R, the Dn-th symbolic power of Q is contained in the n-th power of the
homogeneous maximal ideal (p)R + R_+. The strategy relies on the
introduction of a new type of differential powers, which do not require
the existence of a p-derivation on R. The talk will be based on joint work
with E. Grifo and J. Jeffries.
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar