A pleasant surprise of the cyclotomic character
In 1990, V. Drinfeld introduced the Grothendieck-Teichmueller group GT. This group receives a
homomorphism from the absolute Galois group G_Q of rational numbers, and this homomorphism is injective due to Belyi's theorem. In his 1990 ICM talk, Y. Ihara posed a very hard question about the surjectivity of this homomorphism from G_Q to GT.
In my talk, I will introduce the groupoid of GT-shadows and show how this groupoid is related to the group GT. I will formulate a version of Ihara's question for GT-shadows and describe a family of objects of the groupoid for which this question has a positive answer. My talk is based on the joint paper https://arxiv.org/abs/2405.11725 with I. Bortnovskyi, B. Holikov and V. Pashkovskyi.
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https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
תאריך עדכון אחרון : 04/12/2024