Refined applications of Kato's Euler systems

Abstract: In modern number theory, one of the most interesting goals is to understand the arithmetic meaning of special values of L-functions of various arithmetic objects (e.g. Birch and Swinnerton-Dyer conjecture and Bloch-Kato's Tamagawa number conjecture). Iwasawa theory is the most successful way at present to achieve this aim, and many important results are based on the theory of Euler systems. We will discuss more refined applications of Kato's Euler systems for modular forms beyond their standard applications.

number theory

Audience: researchers in the topic

Dublin Algebra and Number Theory Seminar

Series comments: Passcode: The 3-digit prime numerator of Riemann zeta at -11