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DTSTART:20260308T070000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-francisco-villacis
SUMMARY:Algebraic Geometry Working Seminar | Francisco Villacis | Principal
 \nMinors and Absolute Values
CLASS:PUBLIC
DESCRIPTION:FRANCISCO VILLACIS (UNIVERSITY OF WATERLOO) \n\n_Principal Mino
 rs and Absolute Values_ \nThe classification of matrices by their principa
 l minors has been an\narea of interest to many since at least the 1980s. I
 n this talk we\nexpand on this work by outlining a proof that\, if two ort
 hogonal\nprojection matrices have the same principal minors\, then the\nco
 ordinatewise absolute value of their images coincide. Generalizing\nthe id
 eas of the proof gives rise to a stratification of the\nGrassmannian which
  is coarser than the well-known matroid\nstratification of Gelfand-Goresky
 -MacPherson-Serganova. We conclude\nthis talk with some applications of th
 is theorem to geometry. \nMC 5403
DTSTAMP:20260923T172113Z
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