Eigenspace Decomposition of Mixed Hodge Structures on Alexander Modules
Eva ELDUQUE
Universidad Autónoma de Madrid (UAM)
https://sites.google.com/site/evaelduque
Date(s) : 13/01/2022 iCal
14h00 - 15h00
In previous joint work with Geske, Herradón Cueto, Maxim and Wang, we constructed a mixed Hodge structure (MHS) on the torsion part of Alexander modules, which generalizes the MHS on the cohomology of the Milnor fiber for weighted homogeneous polynomials. The cohomology of a Milnor fiber carries a monodromy action, whose semisimple part is an isomorphism of MHS. The natural question of whether this result still holds for Alexander modules was then posed. In this talk, we will talk about the solution to this question, as well as some consequences and explicit computations. Joint work with Moisés Herradón Cueto.
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