[Turkmath:6621] Galatasaray Universitesi Seminer Duyurusu - Ozlem Ejder (Koç Uni) - 2.10.24

[Math Seminar]

*Speaker:* Özlem Ejder - Koç Üniversitesi
*Date:* Wednesday, 2 October 2024
*Time:* 15:00 - 16:00
*Location:* Galatasaray Üniversitesi, Ortaköy, Çırağan Cd. No:36, 34349
Beşiktaş

*Title :* Groups, Geometry, Arithmetic and Dynamics

Let a₀ be an integer, let f be a polynomial, and consider the sequence aₙ =
f(aₙ₋₁). It is a natural question to ask whether there are infinitely many
primes in this sequence. One quickly decides that there are not enough
tools at hand to deal with this question and one asks instead about the
primes dividing at least one term of the sequence. It turns out that the
symmetries of the pre-images of a₀ under the iterates of f play an
essential role in the solution of this density question. Motivated by the
prime density questions, we study the Galois theory of the iterates of a
polynomial (or a rational function). We see fruitful connections between
geometry, dynamics, arithmetic, and group theory in this subject.

Some of the results presented in this talk are joint work with Y. Kara, E.
Özman.

*Note:*

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   13:00 on the day of the seminar.

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Galatasaray Üniversitesi Matematik Bölümü
https://matematik.gsu.edu.tr/
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