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HUJI NT Seminar - Asvin G (HUJI) | Einstein Institute of Mathematics

HUJI NT Seminar - Asvin G (HUJI)

Date: 
Mon, 29/05/202314:30-16:00
Location: 
Ross 70 and Zoom
Zoom link
https://huji.zoom.us/j/84721203396?pwd=dWkyVTk0WDhlWlBOdVgxR04rKzM1UT09

Meeting ID: 847 2120 3396
Passcode: 189975

Link to recordings:

https://huji.cloud.panopto.eu/Panopto/Pages/Sessions/List.aspx?folderID=39fd71c4-753c-4a1a-a955-aeb500acd432

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Title: A Chebotarev density theorem over p-adic fields.
Abstract: This is joint work with Yifan Wei and John Yin. Recently, Cremona, Bhargava, Fisher and Gajovic conjectured that certain naturally occurring factorization densities over the p-adics should form a rational function in the prime p and have a functional equation. Inspired by this conjecture, we develop a framework for a p-adic analogue of the Chebotarev density theorem and prove it assuming the existence of nice resolutions. As a consequence of this general framework, we prove the above conjecture on factorization densities completely by constructing a nice resolution of the "resultant locus".