BF path integrals for elliptic curves and $p$-adic L-functions

Abstract: In this talk, I will explain an arithmetic path integral formula for the inverse $p$-adic absolute values of the $p$-adic L-functions of elliptic curves over the rational numbers with good ordinary reduction at an odd prime $p$ based on the Iwasawa main conjecture and Mazur’s control theorem. The talk is based on a joint work with Junyeong Park.

number theory

Audience: researchers in the topic

London number theory seminar

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For a record of talks predating this website see: wwwf.imperial.ac.uk/~buzzard/LNTS/numbtheo_past.html