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Seminar on Algebraic, Complex Geometry and Singularities
$J$-functions and Hodge moduli algebras of simple elliptic singularities
$J$-functions and Hodge moduli algebras of simple elliptic singularities
Organizer
Speaker
Yang Wang
Time
Wednesday, August 2, 2023 2:30 PM - 3:30 PM
Venue
Online & 数学系理科楼A-404
Abstract
From Hodge ideals of singularities, we obtain the Hodge moduli algebras which are Gorenstein local algebras in some cases. We recover the $J$-functions of simple elliptic singularities from these local algebras. This extends the earlier work of M. G. Eastwood that he constructed the $J$-functions from the Tjurina algebras of simple elliptic singularities.