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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20261009T093000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-francisco-villacis-linear
SUMMARY:Algebraic Geometry Working Seminar | Francisco Villacis | Linear\nA
 moebas and their Combinatorial Properties
CLASS:PUBLIC
DESCRIPTION:FRANCISCO VILLACIS (UNIVERSITY OF WATERLOO) \n\n_Linear Amoebas
  and their Combinatorial Properties_ \nA projective toric variety \\(X\\Si
 gma\\) comes with a moment map\n\\(\\mu\\)\, whose image is a convex polyt
 ope that encodes a lot of the\ngeometry of \\(X\\Sigma\\). These moment ma
 ps and their associated\npolytopes have played a fundamental role in quant
 ization programs and\nmirror symmetry. One natural question when studying 
 these maps is\nwhether the image \\(\\mu(X)\\) also encodes geometric info
 rmation of a\nsubvariety \\(X\\subset X_\\Sigma\\). In this talk\, we intr
 oduce\ncombinatorial objects that let us study this image\, called the\n(c
 ompactified) amoeba of \\(X\\)\, in the case where \\(X\\) is a linear\nsu
 bspace of projective space. \nMC 5403
DTSTAMP:20261023T074023Z
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