Arithmetic Statistics and Iwasawa Theory

Explore the intricate connections between arithmetic statistics and Iwasawa theory in this 58-minute Fields Number Theory Seminar talk delivered by Dr. Debanjana Kundu from the University of British Columbia. Delve into key concepts such as the Iwasawa conjecture, mortal weight theorem, and Greenberg Theorem. Examine the Ordinary Hypothesis and its implications, investigate the role of periodic regulators, and understand the significance of fixing the prime. Gain insights into the latest developments in this field of number theory through a comprehensive overview that covers introduction, questions, and summary sections, providing a well-rounded understanding of the topic.

Introduction
Iwasawa theory
Mortal weight theorem
Iwasawa conjecture
Questions
Ordinary Hypothesis
Greenberg Theorem
Periodic Regulator
Fixing the Prime
Summary