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SUMMARY:Rajendra Gurjar (IIT Bombay)
DTSTART:20201215T120000Z
DTEND:20201215T130000Z
DTSTAMP:20260423T021002Z
UID:VCAS/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/40/">Za
 riski-Lipman Conjecture for Module of Derivations - Part 1</a>\nby Rajendr
 a Gurjar (IIT Bombay) as part of IIT Bombay Virtual Commutative Algebra Se
 minar\n\n\nAbstract\nZariski conjectured that if the module of derivations
  of a local ring $R$ at a point on an algebraic variety defined over a fie
 ld of chararacteristic $0$ is a free $R$-module then $R$ is regular. In th
 ese two talks we will survey most of the interesting results proved affirm
 ing the conjecture.\n\nResults of Lipman\, Scheja-Storch\, Becker\, Hochst
 er\, Steenbrink-van Straten\, Flenner\, Kallstrom\, Biswas-Gurjar-Kolte\, 
 and some general results which can be deduced by combining some of these r
 esults will be discussed. An interesting proposed counterexample due to Ho
 chster will be introduced. Some unsolved cases in the paper of Biswas-Gurj
 ar-Kolte will be mentioned.\n
LOCATION:https://researchseminars.org/talk/VCAS/40/
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