[Turkmath:6134] FGC-HRI-IPM number theory seminars::[Carlo Pagano][May 31, 5pm]

[Özlem Ejder]

Dear all,

Carlo Pagano (Concordia University Montreal) is our speaker in the
FGC-HRI-IPM Number Theory Seminar this upcoming week.

*Date and Time:* Wednesday May 31, 17:00 Istanbul time;

*Title: *Abelian arboreal representations

*Abstract:* I will present joint work with Andrea Ferraguti which makes
progress on a conjecture of Andrews and Petsche that classifies abelian
dynamical Galois groups over number fields, in the unicritical case. I will
explain how to reduce the conjecture to the post-critically finite case and
the key tools to handle all unicritical PCF with periodic critical orbit
over any number field and all PCF over quadratic number fields. Along the
way I will present an earlier rigidity result of ours on the maximal closed
subgroup of the automorphism group of a binary rooted tree, which offered
us with the main input to translate the commutativity of the Galois image
into diophantine equations. I will also overview progress on the tightly
related problem of lower bounding arboreal degrees.

*Zoom Meeting ID: *856 1386 0958
*Passcode: *513992

Sevgiler,
Özlem
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