CRM: Centro De Giorgi
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Aspects of Moduli Theory

seminar: Periods of generalized deformations

speaker: Marco Manetti (Università di Roma La Sapienza)

abstract: A generalized deformation of a complex manifold is defined algebraically as a solution, up to gauge, of the Maurer-Cartan equation in the algebra of polyvector fields. We show that in the Kaehler case, every generalized deformation gives a canonical sequence of holomorphic maps into the Grassmannian of graded subspaces of the De Rham cohomology. For classical deformations the above maps reduces to Griffiths period maps.


timetable:
Thu 26 Jun, 10:45 - 11:45, Aula Dini
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