Starts 11 Apr 2023 10:30
Ends 11 Apr 2023 11:30
Central European Time
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ALGEBRAIC GEOMETRY SEMINAR: Geography of surfaces of general type: Construction of Savage surfaces
Hybrid
Luigi Stasi Seminar Room + Zoom
Registration link (for those attending on-line):
https://zoom.us/meeting/register/tJAkdu-uqzkrGNPiP0rLXSuM5bSbSaX5BeDX
Abstract: In this talk, we explore a technique to construct a surface S of general type, as a complete intersection of a product of two surfaces X and Y, such that the Chern numbers of X and Y control the Chern numbers of S, as well as its fundamental group. LEF line bundles are a primary tool, so we will briefly introduce them. We will show how to use LEF bundles to handle the geographical problem of populating the interval [1, 3] densely with Chern slopes of minimal surfaces of general type and a fixed fundamental group. The surfaces that solve such problems are known as Savage Surfaces.
Joint work with Giancarlo Urzúa.