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SUMMARY:Jordan Ellenberg (UW Madison)
DTSTART:20261002T190000Z
DTEND:20261002T195000Z
DTSTAMP:20261004T235438Z
UID:UtahRTNT/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UtahRTNT/23/
 ">Smyth's conjecture and a non-deterministic Hasse principle (Special time
  and room)</a>\nby Jordan Ellenberg (UW Madison) as part of University of 
 Utah Representation Theory / Number Theory Seminar\n\nLecture held in LCB 
 225.\n\nAbstract\nThe matrix\n\n3     -3    4   
   -4    5     -5    0     0\n\n4
      -4    -3    3     0    
  0     5     -5\n\n-5    5     0
      0     -3    3     -4   
  4\n\nhas an interesting property.  Can you see what it is?\n\nIn case t
 his puzzle is not enough information about the talk:  I will explain how t
 o prove a conjecture of Smyth from 1986 about linear relations between Gal
 ois conjugates\, and explain what this has to do with (some subset of depe
 nding on time)  linear combinations of permutation matrices\,  Brianchon's
  theorem on ellipses inscribed in hexagons\, weightings on the edges of di
 rected hypergraphs\, representations of discrete groups with compact image
 \, and the study of Diophantine equations where the equation is to be solv
 ed with probability distributions instead of with numbers.  This is joint 
 work with Will Hardt.\n
LOCATION:https://researchseminars.org/talk/UtahRTNT/23/
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