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Seminario / Aprodu

SEMINARIO DI GEOMETRIA ALGEBRICA
(ONLINE)

Nell'ambito del seminario congiunto di geometria algebrica organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

mercoledì 20 maggio alle 13:45 (collegamento alle 13:30)

si terrà il seguente seminario online su Zoom (Meeting ID: 837-7090-7586, Password: 3EH9Sp):

 

Marian Aprodu
(University of Bucharest)

Green’s conjecture and vanishing of Koszul modules

Abstract: I report on a joint work with Gavril Farkas, Stefan Papadima, Claudiu Raicu and Jerzy Weyman. Koszul modules are multi-linear algebra objects associated to an arbitrary subspace in a second exterior power. They are naturally presented as graded pieces of some Tor spaces over the dual exterior algebra. Koszul modules appear naturally in Geometric Group Theory, in relation with Alexander invariants of groups. We prove an optimal vanishing result for the Koszul modules, and we describe explicitly the locus corresponding to Koszul modules that are not of finite length. We use representation theory to connect the syzygies of rational cuspidal curves to some particular Koszul modules and we prove that our vanishing result is equivalent to the generic Green conjecture.

 

Tutti gli interessati sono invitati a partecipare.

14 maggio 2020
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