On Brumer-Stark Units and Hilbert’s 12th Problem by Mahesh Kakde and Samit Dasgupta
Explore a comprehensive lecture on Brumer-Stark units and Hilbert's 12th Problem in this Distinguished Lecture Series presentation. Delve into complex mathematical concepts including Diophantine equations, Abelian extensions, Stickelberger's theorem, and the Brumer-Stark-Tate conjecture. Examine refinements of the Brumer-Stark conjecture, explicit class field theory, and new results in the field. Gain insights into computational examples, the Ritter-Weiss module, Ribet's method, and group ring valued modular forms. Conclude with an exploration of Galois representation and p-adic integral formulas for units. This in-depth talk offers a thorough examination of advanced number theory topics for mathematicians and researchers in related fields.