Galois Module Structure of Psth Power Classes of a Field

Explore the Galois module structure of $p^s$th power classes of a field in this 49-minute lecture by Andrew Schultz from Wellesley College. Delivered as part of the 2023-2024 Fields Number Theory Seminar at the Fields Institute on November 20, 2023, this talk delves into advanced concepts in algebraic number theory. Gain insights into the intricate relationships between Galois theory and power classes, and understand their significance in modern number theory research. Suitable for graduate students and researchers in mathematics, this seminar provides a deep dive into a specialized topic within the field of algebraic number theory.