[Turkmath:5616] Galatasaray Üniversitesi Genel Seminerler

[özge ülkem]

Merhabalar,

11 Mayıs Çarşamba günü saat 15.00'de Boğaziçi Üniversitesi'nden Yasemin Kara Galatasaray Üniversitesi'nde bir konuşma verecektir. Konuşma yüz yüze H306 sınıfında yapılacaktır. Konuşmanın detaylarını aşağıda bulabilirsiniz.

Sevgiler,
Özge Ülkem

Title: Solving Fermat Type Equations Via Modular Approach

Abstract: The asymptotic Fermat conjecture(AFC) states that for a
number field K and for sufficiently large primes, the equation
x^p+y^p+z^p=0 has only trivial solutions.  The strategy which is
referred as the "modular method" to solve the Fermat equation, used by
Wiles in his famous proof, can be adapted to attack AFC and its
several different generalizations.  Similar results are quite rare for
other Fermat type equations such as x^p+y^q=z^r although the solutions
of this equation have been studied over rationals.  In this talk, I
will mention some recent asymptotic results  for the classical Fermat
equation as well as some other Fermat type equations over number fields.

This talk is based on joint works with Isik and Ozman.


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