Tropical Intersections in Algebraic Geometry
Explore tropical intersections in algebraic geometry, examining their applications and implications for mathematical research and problem-solving.
Syzygies Beyond Projective Space
Explore advanced algebraic geometry concepts, focusing on syzygies beyond projective space, with insights from cutting-edge research in this specialized mathematical field.
The Worst 1-Parameter Subgroup for Toric Curve Singularities
Explore the intricacies of toric curve singularities and their worst 1-parameter subgroups in this advanced mathematical talk by Dave Swinarski from Fordham University.
Cohomology of Moduli Spaces of Curves
Explore the intricate cohomology of curve moduli spaces with Hannah Larson, delving into advanced algebraic geometry concepts and their applications.
Path-Dependent PDEs and Mean Field Control - SIAM FME Virtual Talk Series
Explore advanced mathematical concepts in finance: path-dependent PDEs, rough volatility, and mean field control. Gain insights from experts on convergence rates and numerical analysis in financial modeling.
Mapping Economic Interdependencies: A Graph Theory Approach
Explore economic interdependencies using graph theory, uncovering complex relationships and patterns in global markets and financial systems.
Formalising the Theory of Combinatorial Optimisation
Explore formalisation of combinatorial optimisation theory in Isabelle/HOL, focusing on matching theory and its mathematical implications for computer science and applied mathematics.
Unavoidable Mathematics - Exploring Derived Concepts from Simple Theories
Exploring fundamental mathematical concepts that arise naturally from simple theories, revealing unexpected connections and rich structures in algebra, category theory, and computer science.
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.
Calculating Ordinal Invariants - Can You Do Better Than a Human?
Explore ordinal invariants calculation techniques, comparing human and computational approaches in this advanced mathematics lecture by Mirna Džamonja.
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.
A Geometric Approach to a Famous Integral
Explore a geometric approach to solving a renowned integral, offering unique insights and problem-solving techniques in mathematical analysis.
Prequantization of a Non-Exact Courant Algebroid
Explore advanced mathematical concepts in geometric structures, focusing on prequantization techniques for non-exact Courant algebroids in this in-depth lecture by Gavin Hurd.
Numerical Approach to Polylogarithms on Higher-Genus Riemann Surfaces
Explore numerical evaluation of polylogarithms on genus-two Riemann surfaces using Schottky parametrization and averaging over genus-one differential forms, advancing particle physics research.
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.
Fitting High-dimensional Data and Model Selection - Lecture
Explore techniques for fitting high-dimensional data and selecting appropriate models in biological evolution, focusing on polygenic adaptation and phenotypic variation.