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.
Shtukas and Excursions in Categorical Spectral Theory - Talk 42
Delve into advanced mathematical concepts exploring the relationship between excursion operators, shtuka cohomologies, and categorical spectral action through categorical traces.
Localizing Invariants of Large Categories: General Theory
Delve into advanced algebraic K-theory concepts, exploring dualizable stable categories, continuous K-theory applications, and their relationship with sheaf categories on Hausdorff spaces.
Localizing Motives, Algebraic KK-Theory and Refined Negative Cyclic Homology
Delve into advanced algebraic geometry concepts exploring localizing motives, their rigidity properties, and applications in refined negative cyclic homology and topological cyclic homology.
Shtukas and Global Langlands for Function Fields - Talk 37
Delve into V. Lafforgue's groundbreaking proof of global Langlands correspondence, exploring shtukas, geometric Satake, and excursion operators in function fields through expert analysis.
Overview of Restricted Geometric Langlands Theory
Delve into categorical formulations of geometric Langlands theory, exploring restricted local systems, their applications in arithmetic, and connections to automorphic forms through Frobenius traces.
Moduli Spaces in p-adic Non-abelian Hodge Theory
Delve into p-adic non-abelian Hodge theory through geometric moduli spaces, exploring Higgs bundles, pro-étale vector bundles, and their relationships to Simpson correspondence.
Come See How It’s Made in ZBrush – Ian Robinson – Maxon ZBrush Trainer
Explore advanced ZBrush techniques with Ian Robinson as he creates Star Wars fan art, demonstrating latest features and offering expert tips for digital sculpting and 3D modeling.
Compact Quantum Surfaces - Part 3
Explore advanced concepts of compact quantum surfaces, delving into complex mathematical theories and applications in quantum physics.
Like Popcorn - Crossmodal Correspondences Between Scents, 3D Shapes and Emotions in Children
Exploring how children associate emotions with scents and 3D shapes, revealing crossmodal connections that can enhance multisensory interactive technologies for more inclusive design experiences.
Fractals and the Art of Roughness
Explore the complexity of roughness and discover order in seemingly chaotic patterns through fractal mathematics with legendary mathematician Benoit Mandelbrot in this thought-provoking TED talk.
Origami Software from Scratch
Explore the journey of creating origami software, from basic geometry to complex algorithms, with interactive visualizations and insights into mathematical foundations and user-friendly design.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore the Kakimizu complex for genus one hyperbolic knots, examining its structure, dimensions, and examples across various dimensions in 3-sphere topology.
Topological Defects and Phase Transitions
Explore topological defects in 2D systems, their role in phase transitions, and experimental verifications in superfluids, superconductors, and crystals.
Water Rendering in Far Cry 5
Explore AMD and Ubisoft's innovative water rendering system for Far Cry 5, featuring realistic waterfalls and lakes through advanced materials and techniques.
Steven Weinberg and the Quest to Explain the World
Explore Nobel laureate Steven Weinberg's groundbreaking contributions to physics, including electroweak theory, with Brian Greene and John Preskill in this tribute to a scientific visionary.
Beyond Beauty - The Predictive Power of Symmetry
Explore symmetry's role in nature, from honeycomb patterns to Einstein's theories. Leading scientists discuss its significance in physics, mathematics, and our understanding of the universe's fundamental laws.
Hidden Dimensions - Exploring Hyperspace
Explore hyperspace and extra dimensions with leading scientists as they discuss the fundamental nature of the universe, from Einstein's theories to modern research on spatial realms beyond our experience.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore thin position theory for knots, links, and graphs, and its applications to width, tunnel number, and bridge number in topology. Learn about "cut"-incompressible surfaces and additivity of knot invariants.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore Morse normal form for branched surfaces and its application in constructing taut foliations, building on Charles Delman's work. Gain insights into advanced topics in low-dimensional topology.
Low Dimensional Topology & Circle-valued Morse Functions
Explore tangle decompositions in knot theory, focusing on Khovanov homology and immersed curves. Learn how these concepts aid in investigating cosmetic surgery and crossing conjectures.