A brief history of p-adic L-functions

A brief history of p-adic L-functions

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Daniel Kriz , Princeton University
Fine Hall 322

Please note earlier start time.   I will introduce the concept of p-adic L-functions and describe some of their applications to questions originally considered by Kummer and his contemporaries, and later by Iwasawa. I will also try to illustrate the modern viewpoint by formulating the main conjecture of Iwasawa theory. If time permits, I will discuss generalizations of the main conjecture and recent applications of p-adic L-functions to the arithmetic of elliptic curves.