Panorama of Mathematics - Darrell Duffie
Explore price transparency in over-the-counter financial markets, focusing on federal funds, contacting investors, uncertainty, and benchmark manipulation.
Panorama of Mathematics - Manjul Bhargava
Explore the Birch and Swinnerton-Dyer Conjecture with Fields Medalist Manjul Bhargava, delving into rational solutions of polynomial equations and the structure of points on cubic curves.
Louis Theran: Rigidity of Random Graphs in Higher Dimensions
Explore rigidity properties of random graphs in higher dimensions and their connection to matrix completion, with insights on thresholds and optimal conditions.
Recent Results on Maximizing Submodular Functions
Explore recent advancements in submodular maximization, covering constrained and unconstrained scenarios for monotone and non-monotone functions within combinatorial optimization.
Provable Submodular Function Minimization via Fujishige Wolfe Algorithm
Explore submodular function minimization through the Fujishige-Wolfe algorithm, analyzing its convergence and implications for combinatorial optimization.
Maximizing Monotone Submodular Functions over the Integer Lattice
Explore advanced algorithms for maximizing monotone submodular functions on integer lattices, with applications in machine learning and combinatorial optimization.
Andreas E. Feldmann - A -embedding of Low Highway Dimension Graphs into Bounded Treewidth Graphs
Explores embedding low highway dimension graphs into bounded treewidth graphs, with applications in transportation network optimization problems like Travelling Salesman and Facility Location.
Ahmad Abdi- Packing Odd T-Joins With at Most Two Terminals
Explore graph theory with Ahmad Abdi as he delves into packing odd T-joins, covering applications, proof strategies, and open questions in combinatorial optimization.
Reassembling Trees for the Traveling Salesman
Explore advanced approximation algorithms for traveling salesman problems, focusing on tree reassembly techniques to improve solutions beyond traditional methods.
Zoltán Szigeti: On -2k,k--connected Graphs
Exploration of (2k,k)-connected graphs, focusing on orientation and construction methods. Covers arc-connectivity, vertex-connectivity, and splitting-off techniques for various graph structures.
On LP-Relaxations for the Tree Augmentation Problem
Explore LP-relaxations for tree augmentation, including dual-fitting algorithms, shadow-minimal solutions, and blocking trees. Gain insights into improved approximation techniques for combinatorial optimization problems.
On Element Connectivity Preserving Graph Simplification
Explores element-connectivity in graph simplification, focusing on reduction techniques, algorithmic results, and applications in network design. Highlights open problems and submodularity properties for faster algorithms.
Curvature of the Determinant Line Bundle for Noncommutative Tori
Explore differential geometry of curved noncommutative tori, including spectral invariants and curvature of determinant line bundle for Dirac operators on noncommutative two tori.
Mirror Symmetry and Big Algebras
Explore mirror symmetry in Hitchin systems, Kirillov algebras, and equivariant cohomology. Delve into conjectures on non-very stable flows and big commutative subalgebras in affine Schubert varieties.
On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms
Explore the Riemann zeta-function, Fourier analysis, and quadratic forms in number theory. Delve into Selberg's theorem, Berry's conjecture, and representation of integers by quadratic forms.
On the Cohomology of Quot Schemes Parametrizing Torsion Quotients on a Smooth Curve
Explore cohomology of Quot schemes on smooth curves, focusing on torsion quotients. Delve into additive basis, natural maps, and geometric interpretations with expert insights.
Standard and Less Standard Asymptotic Methods - Lecture 9
Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and applications in mathematics.
Standard and Less Standard Asymptotic Methods - Lecture 8
Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques like Euler-Maclaurin formula and less standard approaches with practical examples.
Standard and Less Standard Asymptotic Methods - Lecture 6
Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.
Standard and Less Standard Asymptotic Methods - Lecture 5
Explore advanced asymptotic methods for evaluating infinite sums and sequences, including Euler-Maclaurin formula variants and less conventional techniques, with practical examples and applications.
ICTP-IGAP Seminar on Algebraic Geometry - Refined Invariants and Vafa-Witten Invariants
Explore refined invariants and Vafa-Witten invariants in algebraic geometry, covering virtual Euler numbers, moduli spaces of sheaves, and Higgs pairs. Delve into localization techniques for C*-actions.