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SUMMARY:On the number of generators of an ideal
DTSTART:20150703T151500
DTEND:20150703T161500
DTSTAMP:20260917T081945Z
UID:4d809501d958302e65516f4325a709b042d2417bb44f7aab227ce318
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jean Fasel - Mathematisches Institut der Universität München
 \nLet $R$ be a commutative ring an let $I\\subset R$ be an ideal. Suppose 
 that there is a surjective homomorphism $(R/I)^n\\to I/I^2$ for some $n\\i
 n \n$. A classical question is to know if this surjection lifts to a surje
 ctive homomorphism $R^n\\to I$. We give necessary and sufficient condition
 s for the question to have a positive answer in case R is smooth over a fi
 eld and derive several result from this\, showing in particular that the q
 uestion has a positive answer over polynomial rings.
LOCATION:MA A3 30 http://plan.epfl.ch/?lang=en&room=MA+30
STATUS:CONFIRMED
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