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Galois Seminar

Monday, September 12, 2022 - 3:30pm

Vasily Dolgushev

Temple University

Location

University of Pennsylvania

TBA

Joint with algebra seminar

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.
My talk will be devoted to GT-shadows. These tantalizing objects
may be thought of as "approximations" to elements of the mysterious
Grothendieck-Teichmueller group. They form a groupoid and act on
Grothendieck's child's drawings. If time permits, I will say a few words
about GT-shadows in the Abelian setting. My talk is based on paper
arxiv.org/abs/2008.00066 (joint with Khanh Q. Le and Aidan A. Lorenz)
and arxiv.org/abs/2106.06645 .