ICTP Algebraic Geometry Seminar - Tuesday, 11 March, at 10:30 (Sergio Troncoso Igua) - Hybrid event

[ICTP Math Section]

I C T P  A L G E B R A I C  G E O M E T R Y   S E M I N A R

Tuesday, 11 April, at 10:30


Venue: This is a hybrid event. For those wishing to attend in person - 
Leonardo Building - Luigi Stasi Seminar Room

For those wishing to attend in remote, please register through 
_*https://zoom.us/meeting/register/tJAkdu-uqzkrGNPiP0rLXSuM5bSbSaX5BeDX*_

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Speaker: Sergio Troncoso Igua(Universidad Tecnica Federico Santa Maria)


Title:Geography of surfaces of general type: Construction of Savage surfaces


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./


https://indico.ictp.it/event/10324/