CMI Silver Jubilee Lecture
A. Raghuram, IISER, Pune
From Calculus to Number Theory (via Cohomology)
Monday, March 23, 2015
In our study of integral calculus, we come across various convergent series. Some of them are very well-known, having been made famous by the works of Euler, Leibniz, MacLaurin and Madhava (from the 14th century Kerala School of Mathematics). Such series happen to be prototypes of a subject within modern number theory called Special Values of L-functions. An L-function is a function of a complex variable that is attached to some interesting arithmetic or geometric data. The special values of these functions give structural information about such data. In this talk, I will weave a storyline starting with ancient formulas in Calculus leading up to some theorems and conjectures in modern Number Theory.