SISSA Algebraic geometry seminars in presence and online
Michele Graffeo
mgraffeo at sissa.it
Wed May 4 17:19:32 CEST 2022
Next seminar, Friday 06/05/2022 at 4:30pm, room Boris Dubrovin 136
Speaker: Sohaib Khalid (SISSA)
Title: Rational surface singularities
Abstract: Picking up the thread from last week, we will give another (more numerical) characterisation of rational surface singularities. We will then see how this, combined with the Artin Contraction Theorem (a slight generalisation of the classical Castelnuovo Contraction Theorem) can often reduce the study of rational surface singularities to simply keeping track of the combinatorics of the exceptional locus of a resolution. We will exhibit this phenomenon in the elegant case of Du Val singularities. If time permits, we will sketch the beautiful connection of Du Val singularities with regular solids in three dimensions, including the Platonic solids that have been studied since Classical Antiquity.
You can find more information about the seminars of the algebraic geometry group at the following links.
https://graffeomichele.github.io/seminari.html
https://www.math.sissa.it/content/algebraic-geometry-seminar-20212022
Join Zoom Meeting
https://sissa-it.zoom.us/j/83917587333?pwd=amVZSW54bkROS2U0Ly9HbVJYK3c2QT09
Meeting ID: 839 1758 7333
Passcode: 712636
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