BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Old and new geometry for Shalika germs
DTSTART:20221005T141500
DTEND:20221005T160000
DTSTAMP:20261001T234515Z
UID:7996e8f992a0263772a0763cb67588223fcc2a9cb4a5a7f606bbb8f6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Oscar Kivinen (EPFL)\nAbstract: In recent work with Tsai\, we 
 were able to give a completely combinatorial formula for so called Shalik
 a germs of tamely ramified regular semisimple elements in GL_n over a non
 -archimedean local field F. This was done using methods from harmonic ana
 lysis\, representation theory\, and rather surprisingly\, knot theory. 
 \n\nShalika germs are a family of motivic functions on Lie(GL_n(F)) index
 ed by nilpotent orbits(=partitions)\, which refine e.g. regular semisimple
  orbital integrals\, point-counts of compactified Jacobians of plane curv
 e singularities\, and supercuspidal character values of the p-adic group
  (none of which have been well understood in the last 40-50 years). \n\
 nI will give an introduction to Shalika germs and explain their relation t
 o point-counting on compactified Jacobians. I will then give some examples
  and outline our method of computation\, which reveals an intimate connec
 tion to the Hilbert scheme of points on C^2.
LOCATION:GR A3 31 https://plan.epfl.ch/?room==GR%20A3%2031
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR