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SUMMARY:Oscar Kivinen (École Polytechnique Fédérale de Lausanne)
DTSTART:20230419T070000Z
DTEND:20230419T083000Z
DTSTAMP:20260422T155159Z
UID:HKUST-AG/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/4/"
 >Orbital L-functions and knot superpolynomials</a>\nby Oscar Kivinen (Éco
 le Polytechnique Fédérale de Lausanne) as part of Algebra and Geometry S
 eminar @ HKUST\n\nLecture held in 4504.\n\nAbstract\nOrbital L-functions f
 or GL(n) have appeared in a number of works related to automorphic represe
 ntation theory. Their importance has recently been highlighted by Arthur. 
 It turns out that for function fields\, the local factors of these L-funct
 ions have long been studied in algebraic geometry\, as Hilbert zeta functi
 ons of curve singularities. Drawing inspiration from the Oblomkov-Rasmusse
 n-Shende conjecture\, I will formulate a closely related conjecture equati
 ng the local factors with what are essentially the knot superpolynomials i
 ntroduced by Cherednik-Danilenko\, Dunfield-Gukov-Rasmussen\, and others. 
 This applies in the tamely ramified case over any non-archimedean local fi
 eld\, even when there is no knot in the picture. I will then explain recen
 t progress towards this conjecture.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/4/
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