[Turkmath:7194] Bogazici Matematik Carsamba Semineri - ilan ekte

ferit.ozturk at boun.edu.tr ferit.ozturk at boun.edu.tr
20 Eyl 2010 Pzt 00:19:46 EEST


Geçmiş/gelecek konuşmalar için:
http://www.math.boun.edu.tr/index.php?option=com_content&task=section&id=49&Itemid=405

Konuşmalar İngilizce yapılmaktadır.
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Bogazici University Mathematics Colloquium

Zeta-functions and arithmetic

Kazım Büyükboduk
Koç Üniversitesi


Date  : Wednesday, September 22, 2009
Time  : 14:00
Place : TB 250, Boğaziçi Üniversitesi




Abstract: The purpose of this expository talk is to discuss a fundamental theme

 in Number Theory: The relation between zeta-functions
 (objects of analytic nature) and certain objects (which we generally
 call them Selmer groups) of arithmetic nature. Kummer was first to
 recognize the arithmetic significance of the special values of the
 classical zeta-function, using which he was able to deduce an
 important portion of the "Fermat's Last Theorem". Kummer's ideas were
 much later generalized by Ribet and Wiles (in a certain sense) to
 conclude with the full proof. An important portion of this talk will
 be devoted to explaining Kummer's ideas, and if time permits, say a
 few words about their influence in modern number theory.




Tea and coffee will be served at 15:00


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