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SUMMARY:Claude Laflamme (University of Calgary)
DTSTART:20230504T200000Z
DTEND:20230504T210000Z
DTSTAMP:20260404T111133Z
UID:ReginaGupta/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Regin
 aGupta/1/">How many siblings do you have? ... with a good lesson in mathem
 atical writing!</a>\nby Claude Laflamme (University of Calgary) as part of
  University of Regina H.N. Gupta memorial lecture\n\n\nAbstract\nTwo struc
 tures are called siblings\, or equimorphic\, if each embeds in the other.\
 n\nSiblings need not be isomorphic and the main mathematical objective is 
 to describe these equimorphic structures. A first step is simply the abili
 ty to count them (up to isomorphy)\, the so-called sibling number.\n\nSome
  early 2000 conjectures stated that the sibling number jumped to infinity 
 as soon a single non-isomorphic sibling was found\, and we will review var
 ious developments in those directions over the years.\n\nOn the hand by ch
 ance and to our surprise\, we learned that a 2008 thesis claimed a counter
 example to one of those conjectures. We will argue that mathematical writi
 ng was the root cause of this claim not being verified until now\, and how
  it eventually triggered powerful counterexamples for several conjectures.
 \n
LOCATION:https://stable.researchseminars.org/talk/ReginaGupta/1/
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