Certain Polytopes Associated to Algebraic Integer Conjugates
Explore the fascinating world of algebraic number theory in this 40-minute Fields Number Theory Seminar presented by Samprit Ghosh from the University of Calgary. Delve into the intriguing relationship between certain polytopes and algebraic integer conj…
Spacetime and Quantum Mechanics; Particles and Strings; Polytopes, Binary Geometries and Quiver Categories - Nima Arkani-Hamed
Explore connections between particle physics and mathematics, revealing how spacetime and quantum mechanics emerge from fundamental mathematical structures in combinatorics, algebra, and geometry.
Cynthia Vinzant - Log Concave Polynomials and Matroids
Explore strong log concavity in polynomials, its applications to matroids, and connections to combinatorics and geometry. Learn about recent developments and their implications.
Tropical Solutions to Hard Problems in Auction Theory
Explore tropical mathematics' applications in auction theory, neural networks, and statistics through polytopes, algorithms, and semigroup matrices, unveiling powerful problem-solving techniques.
José Samper Seminar - Higher Chordality
Explore higher chordality in algebraic topology, covering community algebra, linear resolution, graphs, polytopes, and complex links. Gain insights into advanced mathematical concepts.
Structured ML Training via Conditional Gradients
Explore conditional gradient methods for structured optimization in machine learning, covering applications in traditional and deep learning, with a focus on incorporating polyhedral structures into solutions.
Joel Kamnitzer- Perfect Bases in Representation Theory- Three Mountains and Their Springs
Exploration of perfect bases in representation theory, examining three approaches and their combinatorial implications for tensor product multiplicities in semisimple groups.
Polyhedral Geometry of Pivot Rules
Explore the geometric perspective on pivot rules in linear programming, connecting polyhedra, simplex methods, and arborescences to gain insights into optimization algorithms.
Rational Curvature of a Polytope - Algebraic Topology Lecture 15
Introduces a new rational definition of polytope curvature, using turn-angle to connect curvature with Euler number. Explores opposite cones and applies Harriot's theorem on spherical triangles.
Sums of Weighted Lattice Points of Polytopes
Explore connections between polytopes and algebraic combinatorics, focusing on sums of weighted lattice points and their computational implications in estimating maximal weighted lattice points.
Geometric Objects Associated to Planar Bipartite Graphs
Explore topological and geometric data associated with planar bipartite graphs, including knots, cluster varieties, and critical varieties, and their interconnections.
Cohomology and Geometric Quantization of Toric Manifolds
Explore cohomology and geometric quantization in toric manifolds with expert Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
Symplectic Quotient Construction of Toric Manifolds
Explore symplectic quotient construction in toric manifolds with Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
Realization Spaces of Polytopes and Oriented Matroids
Explore realization spaces of polytopes and oriented matroids in this advanced mathematical lecture by Arnau Padrol at CIRM's thematic meeting.
The Realization Space of a Matroid
Explore the intricacies of matroid realization spaces with Lukas Kühne, delving into advanced mathematical concepts and their applications in combinatorial geometry.
Gromov's Rigidity Theorem for Polytopes with Acute Angles
Explore recent developments in dihedral rigidity, focusing on Gromov's conjecture and Brendle-Wang's alternative smoothing construction for polytopes with acute angles.
Scalar Curvature Rigidity of Polytopes
Explore Riemannian metrics and scalar curvature positivity in differential geometry. Delve into Gromov's comparison principle for polytopes and recent advancements in verifying his conjecture.
Is the Volume of a Credal Set a Good Measure for Epistemic Uncertainty - UAI 2023 Oral Session 2
Explore the effectiveness of credal set volume as a measure of epistemic uncertainty in binary and multi-class classification, highlighting implications for machine learning.
Random Separating Hyperplane Theorem and Learning Polytopes
Delve into advanced mathematical concepts of hyperplane theorem, polytope learning, and optimization oracles with applications in machine learning's hidden variable problems.
Extension Complexity of Random Polytopes
Explores extension complexity of random polytopes, discussing results for fixed-dimension convex hulls of random points on unit sphere or ball. Joint work with Kwan and Zhao.
ReLU Hull Approximation - Fast and Precise Convex Hull Over-Approximation for Neural Network Verification
Explore a fast, precise approach to over-approximating ReLU function convex hulls in neural network verification, improving efficiency and precision for large-scale networks.