Speaker
Mahesh Kakde (Indian Institute of Science Bengaluru)
Date & Time
Mon, 18 December 2023, 15:30 to 17:00
Venue
Madhava Lecture Hall and Online
Resources
Abstract
Explicit description of algebraic extensions of rational numbers is important for arithmetic applications. Kronecker—Weber theorem says that all abelian extensions of rational numbers are given by roots of 1, or values of 
at rational values of x. In the 1970s Stark made a series of conjectures relating leading terms of Artin L-functions to logarithms of certain algebraic numbers. It turns out that these algebraic numbers generate abelian extensions of “number fields”. I will introduce these conjectures and talk about recent progress in certain cases. This is all joint work with Samit Dasgupta
Zoom link: https://zoom.us/j/97452893143?pwd=Ujd6ZUloQzB0bTNiOWlDaVk2bUZOdz09
Meeting ID: 974 5289 3143
Passcode: 522245