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UID:5855@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221201T110000
DTEND;TZID=Europe/Paris:20221201T120000
DTSTAMP:20241120T200639Z
URL:https://www.i2m.univ-amu.fr/evenements/old-and-new-methods-for-shalika
 -germs/
SUMMARY:Oscar Kivinen (EPFL\, Lausanne\, Suisse): Old and new methods for S
 halika germs
DESCRIPTION:Oscar Kivinen: In recent work with Tsai\, we give a combinatori
 al formula for Shalika germs of tamely ramified elements in GL_n over a no
 n-archimedean local F. This result has many corollaries\, for example the 
 polynomiality of point-counts on local compactified Jacobians and formulas
  for "basic" orbital integrals of tamely ramified elements. The formula fo
 r Shalika germs comes about by combining 1) an old algorithm by Waldspurge
 r for certain closely related germs with 2) more recent ideas from the con
 struction of "superpolynomials" for algebraic knots using the elliptic Hal
 l algebra. I will explain the method together with some examples and if th
 ere is time\, discuss further directions such as a canonical t-deformation
  of the Shalika germs.\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/10/Oscar_Kivinen.jpg
CATEGORIES:Séminaire,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de
  Luminy\, 13009 Marseille\, France\, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, 1300
 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B
 U\, Salle Séminaire2 (RdC):geo:0,0
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