Description
Speaker:* Rajendra V. Gurjar, IIT Bombay *
Date/Time: *15 December 2020, **5:30pm IST/ 12:00 GMT/ 7:00am EST* (joining
time: 5:15 pm IST - 6:30 pm IST)
Google meet link: meet.google.com/pwt-vxdm-gbc
Title:* Zariski-Lipman Conjecture for Module of Derivations*
Abstract: Zariski conjectured that if the module of derivations of a local
ring $R$ at a point on an algebraic variety defined over a field of
characteristic $0$ is a free $R$-module then $R$ is regular. In these two
talks we will survey most of the interesting results proved affirming the
conjecture.
Results of Lipman, Scheja-Storch, Becker, Hochster, Steenbrink-van Straten,
Flenner, Kallstrom, Biswas-Gurjar-Kolte, and some general results which can
be deduced by combining some of these results will be discussed. An
interesting proposed counterexample due to Hochster will be introduced.
Some unsolved cases in the paper of Biswas-Gurjar-Kolte will be mentioned.
For more information and links to previous seminars, visit the website of
VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar/
.