[Turkmath:6828] FGC-HRI-IPM Sayılar Teorisi Seminerleri::Aralık 04, 2024

[kazimilhan.ikeda]

Değerli matematikçiler,

Aşağıda _4 Aralık Çarşamba günü saat 17:00_'da Zoom üzerinden çevrimiçi 
yapılacak _FGE-HRI-IPM Sayılar Teorisi Seminerinin_ detaylarını 
bulacaksınız.

İyi çalışmalar,
İlhan İkeda

-------- Özgün ileti --------
Konu: FGC-HRI-IPM number theory seminars
Tarih: 2024-11-28 16:37
Gönderici: FGC-HRI-IPM  Number Theory Seminars 
<fgc-hri-ipm-numbertheory at googlegroups.com>
Alıcı: FGC-HRI-IPM  Number Theory Seminars 
<fgc-hri-ipm-numbertheory at googlegroups.com>

Dear all,

This week, Andrea Ferraguti [1 [1]] (Univ. Torino, Italy) is our 
speaker. Please find the details of his talk below.

All the best,
---------------------------------------------------------------

Date and Time:  December 4, 2024 at 17:00 (Istanbul LT); at 19:30 
(Allahabad LT); at 17:30 (Tehran LT)
Speaker: Andrea Ferraguti (Univ. Torino)
Title:  _Frobenius and settled elements in iterated Galois extensions_

Abstract: Understanding Frobenius elements in iterated Galois extensions 
is a major goal in arithmetic dynamics. In 2012 Boston and Jones 
conjectured that any quadratic polynomial f over a finite field that is 
different from x^2 is settled, namely the weighted proportion of 
f-stable factors in the factorization of the n-th iterate of f tends to 
1 as n tends to infinity. This can be rephrased in terms of Frobenius 
elements: given a quadratic polynomial f over a number field K, an
element \alpha in K and the extension K_\infty generated by all the 
f^n-preimages of \alpha, the Frobenius elements of unramified primes in 
K_\infty are settled. In this talk, we will explain how to construct 
uncountably many non-conjugate settled elements that cannot be the 
Frobenius of any ramified or unramified prime, for any quadratic 
polynomial. The key result is a description of the critical orbit modulo 
squares for quadratic polynomials over local fields. This is joint work 
with Carlo Pagano.

Zoom link: https://kocun.zoom.us/j/99715471656
Meeting ID: 997 1547 1656
passcode: 848084

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[2 [2]].

Links:
------
[1] https://sites.google.com/view/andreaferraguti/home
[2] 
https://groups.google.com/d/msgid/fgc-hri-ipm-numbertheory/59c8cd08-78d9-43cc-9e18-75d1cfb5f110n%40googlegroups.com?utm_medium=email&utm_source=footer 
[2]

Links:
------
[1] https://sites.google.com/view/andreaferraguti/home
[2] 
https://groups.google.com/d/msgid/fgc-hri-ipm-numbertheory/59c8cd08-78d9-43cc-9e18-75d1cfb5f110n%40googlegroups.com?utm_medium=email&utm_source=footer
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