
Explore recent advances in positive scalar curvature metrics on manifolds and foliations, a key topic in differential geometry.

Explore measure and topological rigidity in dynamical systems beyond homogeneous spaces, examining conditions for rigidity properties on manifolds.

Explore quantitative cobordism in topology, focusing on non-constructive existence proofs and connections to geometry. Delve into Manin's principle, Cheeger-Gromov heuristic, and manifold constructions.

Explore critical metrics of eigenvalue functionals using subdifferential, covering Laplace and Steklov eigenvalues and offering new perspectives on Riemannian geometry.

Explore the triangulation conjecture in topology, its validity in low dimensions, and its disproval in higher dimensions using advanced mathematical techniques.

Explore distribution of commensurable classes in geometric models, focusing on Sol and hyperbolic 3-manifolds. Delve into related number theory concepts and recent research findings.

Explore the interplay between smooth and symplectic topology, delving into advanced mathematical concepts and their applications in geometric structures.

Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.

Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.

למד על קירובים ושיערוכים מעל יריעות מפרופ' ניר שרון, מומחה בתחום. הרצאה מעמיקה המציגה רעיונות מתקדמים במתמטיקה.

Explore the geometry of behavior through neural manifolds, combining topology and neuroscience to understand high-dimensional information in neural circuits. Gain insights into brain function using intuitive explanations.

Explore advanced general relativity concepts, including black holes, spacetime geometry, and Raychaudhuri equations, in this comprehensive lecture series honoring physicist Amal Kumar Raychaudhuri.

Exploring Cheeger deformation to derive Lorentzian metrics on spheres and exotic spheres, with implications for physics and geometry in compact models of spacetime.

Explore gauge theory and low-dimensional topology with expert insights from Paul Feehan in this engaging 48-minute conference talk at the University of Miami.

Explore gauge theory and low-dimensional topology with insights from MIT expert Tom Mrowka in this conference talk at the University of Miami.

Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT. Delve into detailed examples and discuss related conjectures.

Explore 3D steady Euler flows characterization using commuting zero-flux homologies. Extends Sullivan's work, proves impossibility of plug constructions, and discusses higher-dimensional applications.

Explore advanced quantum topology concepts through bordered-sutured Floer homology and its applications as a sutured TQFT in this in-depth lecture by J. Rasmussen.