Fri, April 15, 2022
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5:00pm [5:30pm] Alessandro De Stefani, Università di Genova, Italy.
Description:
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

6:00pm