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Algebraic Geometry Seminar

Hodge sheaves for singular families
Wednesday, April 14, 2021
4:00-5:00 PM
Virtual Off Campus Location
This is a report on joint work with Behrouz Taji. Given a flat projective morphism f from X to B of complex varieties, assuming that B is smooth, we construct a system of reflexive Hodge sheaves on B. If in addition X is also smooth then this system gives an extension of the Hodge bundle underlying the VHS of the smooth locus of f. This in turn provides a criterion that all VHSs of geometric origin must satisfy. As an independent application we prove a singular version of Viehweg's conjecture about base spaces of families of maximal variation. Speaker(s): Sándor Kovács (University of Washington)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics