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DTSTART:20070311T020000
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DTSTAMP:20260215T103006
DTSTART;TZID=America/Detroit:20260225T153000
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SUMMARY:Workshop / Seminar:Algebraic Geometry Seminar: p-adic integration of hyperplane arrangements and geometric representation theory
DESCRIPTION:The Strong Monodromy Conjecture predicts a mysterious relationship between the non-Archimedean and Archimedean worlds. It suggests that\, for a polynomial f\, the operation of integrating its p-adic norm is governed by the integrals of its Archimedean norm.\n\nHyperplane arrangements provide a fertile testing ground to investigate these connections. In 2009\, Budur-Mustațǎ-Teitler proved the weak Monodromy Conjecture for hyperplane arrangements and introduced the n/d conjecture\, demonstrating that the latter implies the strong version. Although verified for many cases\, a full resolution of the n/d conjecture has remained elusive.\n\nIn this talk\, I will present a proof of the n/d conjecture\, which relies on a new approach that emerges from a confluence of recent Hodge-theoretic approaches to singularities\, and the recent breakthrough on the unitary dual of Lie groups. This is based on the joint work with Dougal Davis.
UID:142240-21890262@events.umich.edu
URL:https://events.umich.edu/event/142240
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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