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DTSTAMP:20260216T151532
DTSTART;TZID=America/Detroit:20260218T143000
DTEND;TZID=America/Detroit:20260218T153000
SUMMARY:Workshop / Seminar:Student Number Theory: An introduction to Borcherds lifts
DESCRIPTION:Let L be an even lattice of signature (2\, n). The Borcherds lifting takes a weakly holomorphic modular form f for Mp(2\, ℤ) of weight 1-n/2 valued in ℂ[L'/L] and produces a meromorphic modular form Ψ(f) for O⁺(L). The divisors of Borcherds lifts are supported on Heegner divisors. In fact\, the weight and the divisor of Ψ(f) are completely determined by the constant term and the principal part of the Fourier expansion of f respectively. Furthermore\, Borcherds lifts admit infinite product expansions known as Borcherds products. In this talk\, we will use the regularized theta lifts of weak Maass forms to sketch the construction of Borcherds lifts.
UID:145578-21897546@events.umich.edu
URL:https://events.umich.edu/event/145578
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3088
CONTACT:
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DTSTAMP:20260204T075230
DTSTART;TZID=America/Detroit:20260218T150000
DTEND;TZID=America/Detroit:20260218T160000
SUMMARY:Workshop / Seminar:Department Colloquium | The Final Fermilab muon g-2 result
DESCRIPTION:The muon magnetic moment anomaly arises due to quantum interactions of muons and the vacuum\, mostly due to quantum electrodynamics (QED)\, but with contributions from ALL Standard Model interactions as well as Beyond-Standard-Model physics. The Fermilab muon g-2 experiment employed a 50m circumference 1.45 T magnetic storage ring and measured the precession of muons with respect to the momentum of the cyclotron orbits for six years. The precision of the final Fermilab result\, 127 ppb\, combines statistically limited measurement of the muon precession and measurement of the magnetic field averaged over the muon storage volume employing novel magnetometry and analysis techniques developed at UM. The Standard Model calculation\, based on known physics\,  is confounded by the strong interaction and has incorporated new approaches based on Lattice Gauge Theory. Experiment and theory are currently consistent\, though the theory uncertainty has gotten worse while the experimental uncertainty has improved. In this talk I will tell the story of this precision measurement.
UID:145023-21896558@events.umich.edu
URL:https://events.umich.edu/event/145023
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Physics,Science
LOCATION:West Hall - 340
CONTACT:
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