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SUMMARY:Ekin Özman (Boğaziçi University)
DTSTART:20230424T130000Z
DTEND:20230424T140000Z
DTSTAMP:20260423T021332Z
UID:GANT/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/26/">Mo
 dular Curves and Asymptotic Solutions to Fermat-type Equations</a>\nby Eki
 n Özman (Boğaziçi University) as part of Greek Algebra & Number Theory 
 Seminar\n\n\nAbstract\nUnderstanding solutions of Diophantine equations ov
 er a number field is one of the main problems of number theory. By the hel
 p of the modular techniques used in the proof of Fermat’s last theorem b
 y Wiles and its generalizations\, it is possible to solve other Diophantin
 e equations too. Understanding quadratic points on the classical modular c
 urve also plays a role in this approach. It is also possible to study the 
 solutions of Fermat type equations over number fields asymptotically. In t
 his talk\, I will mention some recent results about these notions for the 
 classical Fermat equation as well as some other Diophantine equations.\n
LOCATION:https://researchseminars.org/talk/GANT/26/
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