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BEGIN:VEVENT
UID:2742@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190214T140000
DTEND;TZID=Europe/Paris:20190214T150000
DTSTAMP:20190130T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/singularity-invariants-based-on
 -arcs-and-the-nash-multiplicity-sequence/
SUMMARY: (...): Singularity invariants based on arcs and the Nash multiplic
 ity  sequence
DESCRIPTION:: Arc spaces are useful in the study of singularities\, since t
 hey detect certain properties of algebraic varieties\, including smoothnes
 s. They also let us define numerous invariants. In particular\, the Nash m
 ultiplicity sequence\, defined by M. Lejeune-Jalabert for germs of hypersu
 rfaces and generalized later by M. Hickel\, is a non-increasing  sequence 
 of positive integers attached to an arc in the variety which stratifies th
 e arc space in a similar way in which the multiplicity function stratifies
  the variety.In this talk\, we will define this sequence and we will show 
 how it gives rise to a series of invariants of singularities. They turn ou
 t to be strongly related to those that we use for constructive resolution 
 of singularities for varieties defined over fields of characteristic zero.
  We will also explain some results in this direction.http://beatrizpascual
 escudero.wordpress.com
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DTSTART:20181028T020000
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