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DTSTAMP:20260118T213612
DTSTART;TZID=America/Detroit:20260202T160000
DTEND;TZID=America/Detroit:20260202T170000
SUMMARY:Livestream / Virtual:Camassa-Holm Equations with an internal symmetry
DESCRIPTION:In the first part of my talk\, I will revisit my work on the scalar Camassa–Holm equation\, which will set the stage for the second part. There\, I will outline a construction of spinor analogs of the Camassa–Holm equation. In essence\, each orthogonal group gives rise to a Camassa–Holm–type equation with intricate internal dynamics. I will motivate this generalization using spectral deformations of the Euler–Bernoulli beam problem\, which corresponds to the Clifford algebra on two generators with Minkowski signature. The dynamics of solutions of this Clifford extension are far more intricate than in the scalar case\, a contrast I will illustrate with concrete examples. The talk is based on recent joint work with R. Beals and ongoing research with A. Hone and V. Novikov.
UID:142888-21891768@events.umich.edu
URL:https://events.umich.edu/event/142888
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics,Seminar,Virtual
LOCATION:Off Campus Location
CONTACT:
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DTSTAMP:20260202T053339
DTSTART;TZID=America/Detroit:20260202T160000
DTEND;TZID=America/Detroit:20260202T170000
SUMMARY:Workshop / Seminar:GLNT: A Unified Finiteness Theorem For Curves
DESCRIPTION:Abstract: This talk presents a unified framework for finiteness results concerning arithmetic points on algebraic curves\, exploring the analogy between number fields and function fields. The number field setting\, joint work with F. Janbazi\, generalizes and extends classical results of Birch–Merriman\, Siegel\, and Faltings. We prove that the set of Galois-conjugate points on a smooth projective curve with good reduction outside a fixed finite set of places is finite\, when considered up to the action of the automorphism group of a proper integral model. Motivated by this\, we consider the function field analogue\, involving a smooth and proper family of curves over an affine curve defined over a finite field. In this setting\, we show that for a fixed degree\, there are only finitely many étale relative divisors over the base\, up to the action of the family's automorphism group (and including the Frobenius in the isotrivial case). Together\, these results illustrate both the parallels and distinctions between the two arithmetic settings\, contributing to a broader unifying perspective on finiteness.\n\nThis talk will be available on Zoom and also screened in the usual seminar room. \n\nZoom link: https://umich.zoom.us/meetings/94035591521/invitations?signature=wyG79PvgvBsNFNTwNdlSBhapEA35q80UxT-b6dmZZ14
UID:143315-21892895@events.umich.edu
URL:https://events.umich.edu/event/143315
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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