Building the Universe with Mathematics
Explore how mathematics can design our universe, from numbers to multidimensional concepts. Discover the progression of ideas that shape existence, including geometry, algebra, infinity, and relativity.
Cohomological Donaldson-Thomas Invariants of 3-Manifolds
Explore Morse homology of complex Chern-Simons functional, its connections to 4D supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.
On Mapping Class Groups of Non-Orientable Surfaces
Exploración de la estructura y cohomología de grupos de clases de mapeo en superficies no orientables, incluyendo resultados recientes sobre el plano proyectivo y la botella de Klein.
Scaling and Fractals After Mandelbrot - On the Frontiers of the Geosciences - Part 1
Explore scaling and fractals in geosciences, building on Mandelbrot's work. Discover cutting-edge applications and insights at the frontiers of Earth and space sciences.
Fractals and Multifractals in Geophysics - Lorenz Lecture
Explore fractals and their applications in geophysics with renowned mathematician Benoit Mandelbrot in this historic AGU Fall Meeting lecture from 2001.
Of Corals and the Cosmos - A Story of Hyperbolic Space
Explore hyperbolic geometry in nature, from corals to cactuses, and its historical significance. Discover how these forms challenge traditional Euclidean concepts and their prevalence in the natural world.
Tangent Groupoid in Noncommutative Geometry - Lecture 20
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Mohammed Abouzaid: Bordism and Floer Theory
Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.
A Local Torelli Theorem for Log Symplectic Manifolds
Explore log symplectic manifolds, their moduli space, and local Torelli theorem. Discover new components in Pn's moduli space of log symplectic structures.
Cohomological Obstructions to Group Stability
Explore cohomological obstructions to group stability in this advanced mathematics seminar, delving into operator algebras and their applications in group theory.
Tangent Groupoid in Noncommutative Geometry - Lecture 19
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Archimedes' Claw and Carousel - Upgrading Ancient Discoveries
Explore Archimedes' mathematical discoveries upgraded after 2000 years, including the baggage carousel concept, inside-out animations, and the fascinating Archimedes' claw.
Pumping Chirality in Three Dimensions - IPAM at UCLA
Explore quantum cellular automata, bosonization, and chirality pumping in 3D systems. Discover connections to quantum error correction and topological physics in this advanced physics lecture.
The Eisenstein Cycles and Manin-Drinfeld Properties
Explore Eisenstein cycles and Manin-Drinfeld properties in modular curves, focusing on rational points and their significance in arithmetic geometry. Gain insights from expert Debargha Banerjee.
The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves
Explore advanced techniques for studying rational points on modular curves, focusing on quadratic Chabauty methods and nonsplit Cartan modular curves in arithmetic geometry.
Tangent Groupoid in Noncommutative Geometry - Lecture 17
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Geodesic Complexity and Fibered Decompositions of Cut Loci
Explore geodesic complexity in Riemannian manifolds, focusing on cut locus structure and fibered decompositions to establish bounds and applications in projective and lens spaces.
Tangent Groupoid in Noncommutative Geometry - Lecture 18
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 21
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Homeomorphisms of Euclidean Space
Explore recent advances in understanding the topological group of homeomorphisms of Euclidean space, including methods and emerging conjectures in geometric topology.
Tangent Groupoid in Noncommutative Geometry - Lecture 11
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.