Speaker: Andrei Jorza
University of Notre Dame
Will give a Colloquium entitled:
Nonarchimedean Analysis in Number Theory
Abstract: Starting with the beginning of the 20th century, p-adic nonarchimedean analysis has revolutionized the study of diophantine equations and number theory more generally, appearing crucially in the proof of Fermat's Last Theorem and the stunning recent work of Peter Scholze, which won the Fields Medal in 2018. The reason for its power is that the p-adic world allows for deformations of arithmetically significant objects that have no real deformations. I will explain some uses of p-adic analysis in central number theory questions, including applications to one of the Millenium Problems, the Birch and Swinnerton-Dyer conjecture.
Date: 03-26-2024
Time: 4:00 pm
Location: 129 Hayes Healy Bldg
Zoom URL: notredame.zoom.us/j/