Spaces of Orderings and Applications - Lecture 4
Explore the topology of orderable group spaces, their properties, and connections to group algebra. Discuss open questions in this mathematical field.
Spaces of Orderings and Applications - Lecture 3
Explore the topology of orderable group spaces, their properties, and connections to group algebra. Discuss open questions in this mathematical field.
Heisenberg Homology of Surface Configurations
Explore Heisenberg group representations on surface configurations, examining homologies, Mapping Class Group actions, and quantum connections in mathematical research.
Algebraization of Low-Dimensional Topology - Lecture 4
Explore algebraic presentations of cobordism categories in 3 and 4 dimensions, focusing on torus-based structures and their implications for Topological Quantum Field Theories.
Algebraization of Low-Dimensional Topology - Part I
Explore algebraic presentations of cobordism categories in low-dimensional topology. Learn about 3- and 4-modular Hopf algebras and their role in classifying TQFTs.
Khovanov-Seidel Braids Representation
Explore Khovanov-Seidel braids representation in this mathematical conference talk. Gain insights into current trends in representation theory, cluster algebras, and geometry.
Torsion Volume Forms
Explore torsion volume forms in algebraic geometry and topology with Pavel Safronov's in-depth mathematical analysis and insights.
Algebraic Approximation of Submanifolds of Real Algebraic Varieties
Explore algebraic approximation of submanifolds in real algebraic varieties with Olivier Benoist. Gain insights into advanced mathematical concepts and their applications in geometry.
The Humilière Completion and Its Applications in Symplectic Geometry
Explore the Humilière completion of Lagrangian spaces, its spectral distance study, and applications in conformal dynamics, singular Hamiltonian systems, and sheaf theory.
Perfect Kernels and Dynamics: From Bass-Serre Theory to Hyperbolic Groups
Explore perfect kernels and dynamics in mathematics, from Bass-Serre theory to hyperbolic groups, with insights from Pénélope Azuelos's conference talk at CIRM.
Random Walks on Simplicial Complexes
Explore random walks on simplicial complexes in this mathematical conference talk, delving into advanced concepts and applications in the field.
Grupo Fundamental e Espaços de Recobrimento - Aula 03
Explore conceitos avançados de topologia algébrica, incluindo homotopia, grupo fundamental e espaços de recobrimento. Aprofunde-se em aplicações e teoremas fundamentais da área.
Mestrado: Grupo Fundamental e Espaços de Recobrimento - Aula 01
Explore conceitos fundamentais de topologia algébrica, incluindo homotopia, grupo fundamental e espaços de recobrimento. Aprenda aplicações práticas e teoremas importantes nesta aula introdutória de mestrado.
Teoria de Hodge: Variedade de Fermat I - Aula 17
Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
Teoria de Hodge: Gauss-Manin Connection - Aula 16
Explore a conexão de Gauss-Manin na Teoria de Hodge, aprofundando-se em conceitos avançados de matemática pura aplicada ao doutorado.
Teoria de Hodge: Hodge Loci - Aula 19
Explore Hodge loci in advanced mathematics, delving into complex algebraic geometry and Hodge theory concepts for doctoral-level understanding.
Teoria de Hodge da Variedade de Fermat - Aula 18
Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
Neural Sense Relations and Consciousness - A Diagrammatic Approach
Explores neural sense relations and consciousness through inversion symmetry, proposing a topological model linking subject-object domains in brain function, with implications for understanding subjective experience.
Making Up Our Minds
Explore how minds and thoughts are constructed through cognitive processes, examining the nature of consciousness, memory, and perception using interdisciplinary models and mathematical frameworks.
Perverse Sheaves and Resurgence in Borel Summation
Explore the connection between resurgence theory and perverse sheaves, focusing on Borel summation, Stokes phenomena, and alien derivatives in algebraic structures.
Stabilizing the Unstable Output of Persistent Homology Computations
Explore stabilizing techniques for persistent homology computations, focusing on generating cycles and their applications in topological data analysis.