Harvard-MIT Algebraic Geometry Seminar: Old and new geometry for orbital integrals
SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY
Speaker:
Oscar Kivinen - EPFL
I will explain how to reinterpret invariant distributions on p-adic GL_n and its Lie algebra using symmetric functions. This reinterpretation, combined with some old results of Waldspurger, allows us to compute the Shalika germs of tamely ramified regular semisimple elements in GL_n and for example point-counts of compactified Jacobians on plane curve singularities. I will exposit the method and some interesting consequences such as how to t-deform many of the results using K-theory of Hilbert schemes of points on C^2. Time permitting, I will discuss the relation to triply graded knot homology. Based on joint work with Cheng-Chiang Tsai.
Webpage: https://sites.google.