Number Systems - Foundations and Applications in Mathematics
Explore the foundations of mathematics through an in-depth examination of number systems, presented by Kevin Hare from the University of Waterloo.
Exponential Relations Among Algebraic Integer Conjugates
Explore exponential relations between algebraic integer conjugates, delving into advanced number theory concepts and their implications in mathematical research.
Hasse Principle for Function Fields
Explore the Hasse principle's application to function fields, delving into its mathematical implications and theoretical foundations.
Iwasawa Theory in a Family of Z_p-Extensions
Explore advanced number theory concepts, focusing on Iwasawa theory in Z_p-extensions families. Gain insights from expert Sujatha Ramdorai on this specialized mathematical topic.
Finite Flat Group Schemes over Z
Explore finite flat group schemes over Z with René Schoof in this advanced arithmetic geometry lecture from the CIRM Symposium.
Counting S4 and S5 Extensions Satisfying the Hasse Norm Principle
Explore counting techniques for S4 and S5 extensions satisfying the Hasse norm principle in this advanced mathematical lecture by Rachel Newton.
An Invitation to Globally Valued Fields
Explore globally valued fields in mathematics through an in-depth lecture by Ehud Hrushovski, delving into advanced concepts and their applications.
Existential Closedness of Qalg as a Globally Valued Field
Explore existential closedness of Qalg as a globally valued field in advanced mathematical theory. Delve into complex concepts with expert Michal Szachniewicz.
The Average Size of 3-Torsion in Class Groups of 2-Extensions
Explore 3-torsion in class groups of 2-extensions with Melanie Matchett Wood. Delve into advanced number theory concepts and their statistical implications in this mathematical lecture.
Arithmetic Statistics: Concepts and Applications
Explore arithmetic statistics through an in-depth lecture, covering key concepts and recent developments in this mathematical field.
Subrings of Number Fields
Explore subrings of number fields with Hendrik Lenstra in this advanced mathematical lecture on arithmetic statistics.
Class Field Theory - Lecture 1
Explore fundamental concepts of class field theory in this advanced mathematics lecture, delving into algebraic number theory and Galois theory.
Determinants of Cohomology for Number Fields
Explore determinants of cohomology in number fields, delving into advanced mathematical concepts and their applications in algebraic number theory.
Local Fields in Lean
Explore local fields using the Lean theorem prover, focusing on mathematical foundations and practical applications in number theory and algebraic geometry.
Sato-Tate Conjecture for Bianchi Modular Forms
Explore potential automorphy results for Ramanujan and Sato-Tate conjectures in GL(2) over imaginary quadratic fields, extending previous work and introducing new mathematical concepts.
The Langlands Project - Connecting Automorphic Forms and Number Theory
Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
Homological Aspects of Branching Laws in p-adic Groups
Explore homological aspects of branching laws for p-adic group representations, focusing on restriction to subgroups and projective representations in Bernstein blocks.
Dense Embeddings of Hyperbolic Manifold Groups
Explore dense embeddings of hyperbolic manifold groups, focusing on amalgamated products and linear Lie groups. Learn strategies to control properties of output embeddings.
Homological Aspects of Branching Laws in p-adic Groups
Explore homological aspects of branching laws for p-adic group representations, focusing on restriction to subgroups and projective representations in Bernstein blocks.
Structure in the Search for Structure - Algebraic Number Theory and Motivic Cohomology
Explore algebraic number theory through analogies between numbers and shapes, including quadratic reciprocity and linking numbers, leading to insights on Tate's 1966 conjecture.
Average Heights of Abelian Varieties with Complex Multiplication
Explore the arithmetic properties of abelian varieties with complex multiplication, focusing on Colmez's conjecture and its implications for periods and L-functions.