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UID:20260601T044312EDT-53717AjUU1@132.216.98.100
DTSTAMP:20260601T084312Z
DESCRIPTION:The Geometry behind the Stokes Phenomenon\n\nOne way of underst
 anding the structure of the solution set of a linear differential system i
 n the neighbourhood of a singular point is to bring the system to a normal
  form through a change of coordinates: this highlights some special soluti
 ons that are eigensolutions of the monodromy around the singular point. It
  is also a way of deciding if two systems are locally analytically equival
 ent. However\, the normalizing change of coordinates generically diverges 
 in the neighbourhood of an irregular singular point. Why? Since an irregul
 ar singular point is a multiple singular point\, this mysterious phenomeno
 n becomes natural when one embeds the differential system in an unfolding 
 that separates the singular points. The obstruction to the convergence is 
 explained by the fact that it is not the same solutions that are eigensolu
 tions of the monodromy around different singular points. The phenomenon is
  studied through constructing the modulus space for the germs of unfolding
 s of linear systems under analytic equivalence. In the case of nonresonant
  irregular singularities\, this construction has been achieved in joint wo
 rks with Caroline Lambert and Jacques Hurtubise. (Slides will be in Englis
 h\; the language of presentation will be decided at the lecture.)\n\n \n\n
 \n	 \n\n	CRM\, UdeM\, Pavillon André-Aisenstadt\, 2920\, ch. de la Tour\, sa
 lle 4336\n\n
DTSTART:20170926T193000Z
DTEND:20170926T203000Z
SUMMARY:Christiane Rousseau\, Université de Montréal
URL:/mathstat/channels/event/christiane-rousseau-unive
 rsite-de-montreal-270537
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