Oscar Kivinen
EPFL, Lausanne, Suisse
https://www.math.toronto.edu/salomon/
Date(s) : 01/12/2022 iCal
11 h 00 min - 12 h 00 min
In recent work with Tsai, we give a combinatorial formula for Shalika germs of tamely ramified elements in GL_n over a non-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 for Shalika germs comes about by combining 1) an old algorithm by Waldspurger for certain closely related germs with 2) more recent ideas from the construction of « superpolynomials » for algebraic knots using the elliptic Hall algebra. I will explain the method together with some examples and if there is time, discuss further directions such as a canonical t-deformation of the Shalika germs.
Emplacement
Site Sud, Luminy, Ancienne BU, Salle Séminaire2 (RdC)
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