How to Find the Area of a Triangle Using Matrices and Determinants
Learn to calculate triangle area using matrices and determinants in this concise precalculus tutorial, enhancing your mathematical problem-solving skills.
Derived Higher Lie Groupoids
Explore advanced concepts in algebraic topology and differential geometry, focusing on derived higher Lie groupoids and their applications in Hamiltonian geometry.
Differential Geometry over C∞-Rings
Explore advanced concepts in differential geometry using C∞-rings, delving into theoretical foundations and applications in mathematical physics and algebraic geometry.
Combinatorial Topological Dynamics
Explore advanced concepts in combinatorial topological dynamics, focusing on machine learning applications and dynamical systems theory in this symposium presentation by Marian Mrozek.
All the Trigonometry You Need for Calculus - Explained
Comprehensive trigonometry review for calculus: unit circle, radians, special triangles, trig functions, identities, and geometric proofs. Focuses on understanding concepts rather than memorization.
A World From A Sheet of Paper
Explore diverse phenomena through paper folding, from magic tricks to geometry, elasticity, origami, and medical devices. Discover the hidden potential of a simple sheet of paper.
Knots and Knotted Vortices
Explore the fascinating world of knots and knotted vortices in this engaging public lecture by Louis Kauffman, delving into their mathematical and physical properties.
Vector-Valued Concentration on the Symmetric Group
Explore vector-valued concentration inequalities for the symmetric group, examining implications for Banach space geometry and building on recent advancements in discrete hypercube analysis.
Skein Valued Open Gromov-Witten Invariants and Cluster Mutations
Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.
Counting Holomorphic Disks with Boundary on the Chiang Lagrangian
Explore open Gromov-Witten invariants and holomorphic disks on the Chiang Lagrangian, examining periodic behaviors and arithmetic structures in open WDVV equations.
Resurgent Perverse Sheaves and Topological Resurgence Theory
Explore topological counterparts of resurgence theory using perverse sheaves on C as convolution algebras, extending beyond regular holonomic D-modules to infinitely singular cases.
The Geometry and Arithmetic of Banana Nano-Manifolds
Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.
Arclike Lagrangians in Liouville Sectors
Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.
Dispatches from the Ends of the Stability Manifold - Lecture 4
Explore advanced concepts in algebraic geometry, including stability conditions, noncommutative minimal model programs, and multi-scale decompositions. Delve into cutting-edge research on augmented stability conditions.
Dispatches from the Ends of the Stability Manifold - Lecture 3
Explore advanced concepts in algebraic geometry, including stability conditions, multi-scale decompositions, and the noncommutative minimal model program. Gain insights into cutting-edge research.
Cohomological Hall Algebras of 0-Dimensional Sheaves on Surfaces
Explore cohomological Hall algebras of 0-dimensional sheaves on surfaces, their explicit description, and applications to moduli spaces of sheaves with positive-dimensional support.
Skeins, Clusters and Wavefunctions in Open Gromov-Witten Theory
Explore open Gromov-Witten theory and skein-theoretic cluster theory in computing wavefunctions for Lagrangian branes, as presented by Gus Schrader from Northwestern University.
Perverse Sheaves in Deformation Quantization
Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.
Universally Counting Curves in Calabi-Yau Threefolds
Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.
Condensed Thoughts - Topological Field Theories and Condensation
Explore topological field theories, focusing on condensation in TQFTs and its relation to connectivity in homotopy types. Gain insights from recent research discussions.
Empty Real Plane Sextic Curves
Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.