IPM Calendar 
Tuesday 23 April 2024   Today  
Events for day: Thursday 20 August 2020    
           18:00 - 19:00     Commutative Algebra Webinars
Laurent Series and Asymptotic Behavior of Ext over Graded Complete Intersections

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MATHEMATICS

Let R be a graded commutative ring generated over a field by finitely many
homogeneous elements of positive degree. Work of Avramov, Buchweitz and Sally shows
that, under certain assumptions, the Laurent series expansions around 1 of the Hilbert series
of two graded R-modules and those of some of their Ext modules are related. When R is a
complete intersection, we show that such relations are connected to the asymptotic behavior
of the Ext modules. (This is joint work with David A. Jorgensen and Peder Thompson.)
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