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DTSTAMP:20260216T013419
DTSTART;TZID=America/Detroit:20260218T143000
DTEND;TZID=America/Detroit:20260218T153000
SUMMARY:Workshop / Seminar:Learning seminar in algebraic combinatorics: How to describe general torsion classes?
DESCRIPTION:Last time we saw that we can describe torsion classes of quiver representations of Type A_n by bracket vectors. In this talk\, I will give some more general approaches to describing torsion classes\, First I will illustrate them through the familiar Type A_n example. I will also demonstrate how to use them to describe the torsion classes of the representations of the Kronecker quiver. In the second part of the talk\, I will use these new descriptions to construct a dual notion of torsion classes\, the torsion free classes\, and prove that torsion classes form a complete lattice.
UID:145513-21897452@events.umich.edu
URL:https://events.umich.edu/event/145513
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4088
CONTACT:
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BEGIN:VEVENT
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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