Factorization and Modular Forms
Explore quantum algorithms for factorization and modular forms with Kumar Murty, delving into advanced mathematical concepts and their applications in quantum computing.
More on Liouville Numbers
Explore Liouville numbers in depth, delving into their properties, applications, and significance in number theory and mathematical analysis.
O-minimality and the Pila-Wilkie Theorem - Lecture 2
Explore o-minimality and the Pila-Wilkie theorem in this advanced graduate-level mathematics lecture, delving into complex algebraic geometry concepts and their applications.
Expanding the Ordered Group of Integers by Beatty Sequences
Explore Beatty sequences and their role in expanding the ordered group of integers. Gain insights into tame geometry and its applications in analysis and geometry.
Class Groups, Congruences, and Cup Products
Explore class groups, congruences, and cup products in number theory, delving into advanced mathematical concepts and their interconnections.
From Ramanujan Graphs to Ramanujan Complexes
Explore the mathematical journey from Ramanujan graphs to Ramanujan complexes, delving into advanced number theory concepts and their applications in graph theory and topology.
Algebraic Twists of Automorphic L-Functions
Explore advanced number theory concepts with Philippe Michel, focusing on algebraic twists of automorphic L-functions and their applications in modern mathematics.
An Introduction to the Langlands Program
Explore the fascinating Langlands Program, a groundbreaking mathematical theory connecting number theory, geometry, and representation theory, in this engaging lecture by Clifton Cunningham.
Zagier's Polylogarithm Conjecture Revisited
Explore Zagier's Polylogarithm Conjecture with Herbert Gangl, delving into advanced number theory concepts and recent developments in this intriguing mathematical field.
A Tale of Two Analyticities
Explore the intricacies of number theory as Sean Howe delves into the concept of analyticity, offering insights and perspectives in this advanced mathematical seminar.
Eisenstein Series and the Cohomology of Congruence Groups
Explore the interplay between Eisenstein series and congruence group cohomology in this advanced mathematical lecture by Joachim Schwermer, delving into representation theory, geometry, and arithmetic.
On the P-adic Uniformization of Shimura Curves
Explore p-adic uniformization of Shimura curves with Michael Rapoport. Delve into advanced mathematical concepts at the intersection of representation theory, geometry, and arithmetic.
Edgard Pimentel - Regularity Theory for Nonlinear PDEs
Explore recent developments in regularity theory for nonlinear PDEs, covering compactness, stability, and scaling arguments. Learn about fully nonlinear PDEs, Isaacs equation, and free boundary problems.
On B-adic Representation of Irrational Numbers
Explore b-adic representation of irrational numbers with Lars Kristiansen, delving into advanced mathematical concepts and their applications in number theory and analysis.
Modular Forms, Elliptic Polylogarithms and Feynman Integrals
Explores advanced mathematical concepts in Feynman integrals, focusing on epsilon-form solutions, modular forms, and elliptic polylogarithms, with applications in number theory and physics.
Johannes Brödel- From Elliptic Multiple Zeta Values to Modular Graph Functions
Explore the connection between elliptic multiple zeta values and modular graph functions in this advanced mathematics lecture by Johannes Brödel.
Modular Graph Functions and Non Holomorphic Modular Forms
Explore non-holomorphic modular forms in string theory, their properties, and connections to mixed motives and L-functions. Gain insights into advanced mathematical concepts in physics.
Graphical Hyperlogarithms
Explore graphical hyperlogarithms, a generalization of iterated integrals related to cell zeta values. Learn about their graphical representation and coaction formula in subquotient graphs.
The Galois Group of the Category of Mixed Hodge Tate Structures
Explore the Galois group of mixed Hodge-Tate structures, focusing on Tannakian formalism and the canonical description of the Hopf algebra in relation to graded comodules.
Michael Hoffman - Multiple Zeta Values and Alternating MZVs Arising From a Combinatorial Problem
Exploration of multiple zeta values and alternating MZVs stemming from a combinatorial problem, discussing formulas involving Euler polynomials and relations among alternating multiple zeta values.
Motivic Eisenstein Cohomology, P-Adic Interpolation and Applications
Explore motivic Eisenstein classes, p-adic interpolation, and their applications in arithmetic, including explicit reciprocity law for Rankin-convolutions.