Speaker : Mr. Bhakta, Subham (University of Goettingen, Germany)
Venue : PSB-1203
Date and time : 5th August 2022; 10.30 am.
Title : Proportion of points satisfying a Wieferich-type property.
Abstract: Let E be an elliptic curve over $\mathbb{Q}.$ Roughly, a prime $p$ is called a Wieferich prime if there exists a non-torsion point with $p$-adic valuation $1$. It is not known whether there is a single Wieferich prime. In this talk, we count the number of points giving a Wieferich prime in some weaker sense. This is based on joint work with D. Loughran, S. Myerson, and M. Nakahara.