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UID:6329@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210916T140000
DTEND;TZID=Europe/Paris:20210916T150000
DTSTAMP:20250118T133008Z
URL:https://www.i2m.univ-amu.fr/evenements/newton-transformations-and-moti
 vic-invariants-at-infinity-of-plane-curves-2-3/
SUMMARY:Michel Raibaut (LAMA\, Université Savoie Mont Blanc\, Chambéry): 
 Newton transformations and motivic invariants at infinity of plane curves
DESCRIPTION:Michel Raibaut: Let f be a complex polynomial with isolated sin
 gularities. In this talk\, we will start by recalling classical formulas o
 f the Euler characteristic of a fiber of f in terms of Milnor numbers of t
 he singularities of f and the defect of equisingularity at infinity in a c
 ompactification of f. Then\, we will recall the notion of motivic invarian
 t at infinity of f coming from Denef--Loeser and Guibert--Loeser--Merle te
 chnics.\nThis invariant does not depend on the chosen compactification\, i
 t is generically equal to zero and\, under isolated singularities assumpti
 ons\, its Euler characteristic is equal to the defect of equisingularity a
 t infinity of f for the value a. In the last part of the talk\, we will co
 nsider the case of plane curves\, where computations of this invariant can
  be done in terms of Newton polygons at infinity\, using an induction proc
 ess based on Newton transformations and iterated Newton polygons with decr
 easing height.\nJoint works with Pierrette Cassou-Noguès (Bordeaux) and L
 orenzo Fantini (Frankfurt).\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Michel_Raibaut.jpg
CATEGORIES:Groupe de travail,Singularités,Virtual event
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