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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-co
 mbinatorics-matthew-satriano
SUMMARY:Algebraic Combinatorics - Matthew Satriano
CLASS:PUBLIC
DESCRIPTION:TITLE: Monomial ideals\, Galois closures\, and Hilbert schemes 
 of points\n\nSPEAKER:\n Matthew Satriano\n\nAFFILIATION:\n University of W
 aterloo\n\nLOCATION:\n MC 5501 and Zoom - please contact Oliver Pechenik f
 or the Zoom link\n\nABSTRACT: Manjul Bhargava and the speaker introduced a
  functorial\nGalois closure operation for finite-rank ring extensions\, ge
 neralizing\nconstructions of Grothendieck and Katz-Mazur. In this talk\, w
 e use\nGalois closures to construct new components of Hilbert schemes of
 \npoints\, which are fundamental objects in algebraic geometry whose\ncomp
 onent structure is largely mysterious. We answer a 35 year old\nopen pro
 blem posed by Iarrobino by constructing an infinite family\nof low dime
 nsional components. This talk is based on joint work with\nAndrew Staal.
  NO PRIOR KNOWLEDGE OF HILBERT SCHEMES WILL BE ASSUMED.
DTSTAMP:20260403T013611Z
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