Arithmetic & Homotopic Galois Theory IRN | The groupoid of Grothendieck-Teichmüller(GT)-shadows and its action on child's drawings

December 4, 2023	The groupoid of Grothendieck-Teichmüller(GT)-shadows and its action on child's drawings Vasily Dolguchev, Temple University, USA Zoom only · JP:20:00 · FR:12:00 The absolute Galois group of the field of rational numbers and the Grothendieck-Teichmueller (GT) group introduced by V. Drinfeld in 1990 are among the most mysterious objects in mathematics. In my talk, I will introduce the groupoid GTSh of Grothendieck-Teichmueller(GT)-shadows and describe its link to (the gentle version) of the Grothendieck-Teichmueller group. I will explain how the groupoid GTSh acts on Grothendieck's child's drawings, describe properties of this action and show some interesting examples. · Twitter · GCalendar · Outlook

December 4, 2023

The groupoid of Grothendieck-Teichmüller(GT)-shadows and its action on child's drawings

Vasily Dolguchev, Temple University, USA Zoom only · JP:20:00 · FR:12:00

The absolute Galois group of the field of rational numbers and the Grothendieck-Teichmueller (GT) group introduced by V. Drinfeld in 1990 are among the most mysterious objects in mathematics. In my talk, I will introduce the groupoid GTSh of Grothendieck-Teichmueller(GT)-shadows and describe its link to (the gentle version) of the Grothendieck-Teichmueller group.

I will explain how the groupoid GTSh acts on Grothendieck's child's drawings, describe properties of this action and show some interesting examples.