Timeline for Bound for orbital integrals

7 events

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Dec 16, 2018 at 0:53	comment	added	TheStudent		@PaulBroussous Indeed, however is there something standard to do that? I can think of character formulas to bound in general (Weyl's character formula for instance, at archimedean places for instance), but without using $\pi_v$ and making its Plancherel measure appear
Dec 13, 2018 at 10:06	comment	added	Paul Broussous		This is just a remark. If $\pi_\nu$ is supercuspidal and $\gamma_\nu$ is a regular elliptic element of $G(F_\nu )$ then the RHS is the value of the Harish-Chandra character of $\pi_\nu$ at $\gamma_\nu$. So in that case you're trying to bound the character of $\pi_\nu$ in terms of the Plancherel measure.
Dec 13, 2018 at 2:40	comment	added	LSpice		@SubhajitJana, the definition is the right-hand side of the equality.
Dec 13, 2018 at 1:36	history	edited	TheStudent	CC BY-SA 4.0	added 29 characters in body
Dec 13, 2018 at 0:56	history	edited	TheStudent	CC BY-SA 4.0	Defining the orbital integral
Dec 12, 2018 at 17:55	comment	added	Subhajit Jana		Can you please define $\mathcal{O}_{\gamma_v}(MC(\pi_v))$? I am not familiar with the notations.
Dec 12, 2018 at 9:45	history	asked	TheStudent	CC BY-SA 4.0