Number Theory Seminar: Sujatha Ramdorai

Abstract:

Representations of the Galois group of the rationals abound in nature and are important in understanding the structure of the Galois group of the rational numbers. Iwasawa theory studies certain arithmetic modules arising from such representations. Hida theory provides a technique to package some of these representations in a family and study them simultaneously. In this talk I will demonstrate the usefulness of this technique in obtaining information on certain fundamental invariants arising inIwasawa theory for such families and studying their variation within a family.