Artin's Primitive Root Conjecture
Explore Artin's primitive root conjecture with Kumar Murty, delving into its mathematical significance and implications for number theory and algebraic structures.
Towards the Classification of MVSPs over Finite Fields
Explore the classification of MVSPs over finite fields in this mathematical talk by Lucas Reis, delving into advanced algebraic concepts and their applications.
Euler's Product for the Zeta Function via Box Arithmetic - Part 1
Explore box arithmetic's application to number theory, focusing on the Euler product for the Riemann zeta function and the Fundamental Identity of Arithmetic in a combinatorial framework.
Euler's Product for the Zeta Function via Box Arithmetic - Part 2
Explores connections between Box Arithmetic and Number Theory, focusing on Euler's product formula for the Zeta function and its variants, including the sum of reciprocal squares of natural numbers.
Moments of Families of Elliptic Curves
Explore new developments in higher moment sums of elliptic curve families, their connections to modular forms, and applications to rigid Calabi-Yau threefolds and intermediate Jacobians.
Hidden Structures on de Rham Cohomology of p-adic Analytic Varieties
Explore hidden structures in de Rham cohomology of p-adic analytic varieties, including Hodge filtration, Frobenius, and monodromy in mixed characteristic local fields.
Constructing Polylogarithms on Higher-Genus Riemann Surfaces
Generalization of elliptic polylogarithms to higher-genus Riemann surfaces, exploring homotopy-invariant iterated integrals, modular tensors, and connections to Enriquez-Zerbini polylogarithms and Fay identities.
P-adic Height Pairings of Geodesics on Modular Curves
Explore p-adic height pairings of real quadratic geodesics on modular curves, their relation to real quadratic singular moduli, and insights from triple product period interpretation.
Multiple Polylogarithms and the Steinberg Module
Explore the connection between Steinberg module and multiple polylogarithms, with applications to Goncharov program and insights on generating functions for polylogarithms.
Conical Sums - Theory and Applications in Mathematics and Physics
Explore conical sums, their algebra, and connections to multiple zeta values and string theory. Delve into Terasoma's theorem and Dupont's conjecture on the motivic nature of these mathematical structures.
Frobenius Structure and p-adic Zeta Function
Explore p-adic Frobenius structures in differential equations, their connection to algebraic geometry, and their relation to p-adic zeta values in hypersurface families.
The Andrews-Gordon Partition Identities and Commutative Algebra
Explore partition identities, focusing on Andrews-Gordon identities and their connections to commutative algebra. Learn about new combinatorial techniques and q-series identities in number theory.
The Z Factor
Explore the fascinating Z Factor with mathematician Tom Crawford, delving into a Jane Street skyscraper puzzle and insights on the AMP program in this engaging mathematical discussion.
Cracking the Riemann Hypothesis - A Computational Approach
Explore a computational approach to the Riemann Hypothesis, challenging traditional mathematical assumptions and proposing a new perspective on this famous conjecture.
Vector Valued Laurent Polynomial Equations in Torus
Explore vector-valued Laurent polynomial equations in torus with Askold Khovanskii, delving into advanced mathematical concepts and their applications.
Capturing Mathematical Equality - Constructivism and Canonical Isomorphisms
Explore the impact of rejecting constructivism in mathematics, examining the confusion between theorems and definitions and the overuse of "canonical isomorphism" in number theory.
Beilinson's Conjecture for the Dwork Family
Explores Beilinson's conjecture for the Dwork family, focusing on constructing classes in higher Chow groups and computing their regulators in relation to motivic L-functions and automorphic forms.
Elliptic Units for Complex Cubic Fields
Explore the elliptic Gamma function's role in complex cubic fields, its algebraic properties, and connections to Hecke L-functions and Stark's conjectures.
Heights on Curves and Limits of Hodge Structures
Explore the connection between Néron-Tate heights on smooth curves and biextension heights of limit mixed Hodge structures, with implications for computing Beilinson-Bloch heights in higher dimensions.
The Grothendieck Period Conjecture and Mixed Motives with Maximal Unipotent Radicals - Part 2
Explore advanced number theory concepts, focusing on the Grothendieck period conjecture and its relation to mixed motives with maximal unipotent radicals.
Large Compact Subvarieties of A_g
Explore compact subvarieties in A_g with Jacob Tsimerman, delving into advanced number theory concepts and their applications in algebraic geometry.