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SUMMARY:Vasily Dolgushev (Temple University)
DTSTART:20250415T203000Z
DTEND:20250415T213000Z
DTSTAMP:20260423T124901Z
UID:MITNT/113
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/113/">
 The action of Grothendieck-Teichmueller (GT) shadows on child's drawings</
 a>\nby Vasily Dolgushev (Temple University) as part of MIT number theory s
 eminar\n\nLecture held in Room 2-449 in the Simons Building (building 2).\
 n\nAbstract\nGrothendieck-Teichmueller (GT) shadows can be thought of as a
 pproximations of elements of the mysterious Grothendieck-Teichmueller grou
 p GT introduced by V. Drinfeld in 1990. GT-shadows are morphisms of a grou
 poid GTSh whose objects are certain finite index normal subgroups of the A
 rtin braid group. The groupoid GTSh is closely connected to group GT and t
 o the absolute Galois group $G_Q$ of rational numbers. GTSh acts on Grothe
 ndieck's child's drawings and this action is compatible with those of the 
 groups $G_Q$ and GT. In my talk\, I will present the hierarchy of orbits o
 f child's drawings with respect to the actions of $G_Q$\, GT and GTSh\, gi
 ve selected examples and say a few words about future directions of this r
 esearch. This talk is loosely based on my paper "The Action of GT-Shadows 
 on Child's Drawings" (J. of Algebra\, 2025). In many respects\, the explor
 ation of the action of GT-Shadows on child's drawings is inspired by \na p
 aper written by D. Harbater and L. Schneps in 1997.\n
LOCATION:https://researchseminars.org/talk/MITNT/113/
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