Dimension-Free Sobolev-Type Embeddings in the Gauss Space
Explore dimension-free Sobolev-type embeddings in Gauss space, extending Gross' logarithmic Sobolev inequality and examining Orlicz spaces, higher-order derivatives, and Gaussian isoperimetric inequality.
Recreational Biology: Topological Puzzles in Cell Biology
Explore fascinating biological puzzles and paradoxes, from toroidal cells to Flatland animals, while discovering initiatives to democratize science and the role of curiosity in exploring the microscopic world.
Linear BV Quantization as a Functor of Infinity Categories - Lecture
Dive into linear BV quantization as a functor of infinity categories, exploring advanced mathematical concepts in this Prague Mathematical Physics Seminar.
Two Shapes in One Triangle - A Geometric Problem
Explore a fascinating geometric puzzle: fitting two distinct shapes within a single triangle. Uncover the mathematical principles behind this intriguing spatial challenge.
Equivariant Symplectic Homology - Ekeland-Hofer Capacities and Gutt-Hutchings Capacities
Explore the connection between Ekeland-Hofer and Gutt-Hutchings capacities in star-shaped domains, unraveling their equivalence through equivariant symplectic homology.
Derived Moduli Spaces of Hermitian-Einstein Connections
Explore advanced concepts in geometry and physics, focusing on derived moduli spaces of Hermitian-Einstein connections in this seminar by Dennis Borisov.
The Fundamental Group of Random 3-Manifolds and Other Random Objects
Dive into the fundamental group of random 3-manifolds, exploring probability distributions and their applications to various categories in mathematics.
Cohomology of Moduli Spaces of Curves
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
The Weil Conjectures and A1-homotopy Theory
Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.
Symmetries of Manifolds - Lecture 3
Explore symmetries of manifolds in topology and geometry. Delve into classical and recent results, methods, and emerging conjectures about symmetry spaces of simple manifolds like spheres and discs.
Symmetries of Manifolds - Lecture 2
Delve into symmetries of manifolds, exploring classical and recent results on spaces of symmetries for simple manifolds like spheres and discs, with insights into emerging conjectural perspectives.
Symmetries of Manifolds - Lecture 1
Explore symmetries of manifolds in topology and geometry. Delve into classical and recent results, methods, and emerging conjectures about symmetry spaces of simple manifolds like spheres and discs.
Generalizations of the Bernstein Problem
Dive into Otis Chodosh's exploration of the Bernstein Problem's generalizations, examining minimal surface equations and their connections to higher dimensions.
Nonlinear Harmonic Maps and the Energy Identity
Dive into nonlinear harmonic maps, exploring singularity formation and defect measures. Gain insights into the Energy Identity conjecture and its recent proof in this advanced mathematics lecture.
Poisson Algebra, Combinatorics and Representations of Surface Groups
Dive into Poisson algebras, combinatorics, and surface group representations. Explore Goldman's Lie algebra construction and its applications to character varieties and Anosov representations.
Symmetries, Anomalies and Anomaly Inflow in Physics and Mathematics
Explore symmetries in physics, quantum effects, and their mathematical connections in this insightful colloquium by Jeff Harvey on "Symmetries, Anomalies and Anomaly Inflow".
Anosov Flows on 3-Manifolds
Dive into Anosov flows on 3-manifolds, exploring their chaotic yet stable nature, classification challenges, and recent advancements in low-dimensional geometric topology.
Growth of Laplacian Eigenfunctions
Delve into the growth patterns of Laplacian eigenfunctions on compact manifolds, exploring concentration phenomena and the intriguing 'spooky action at a distance' in mathematical contexts.
Counting Closed Geodesics and Improving Weyl's Law for Predominant Sets of Metrics
Dive into the behavior of closed geodesics and Weyl's law on compact manifolds. Explore predominance in Riemannian metrics and its implications for quantitative bounds in geometry.
Courant, Bezout, and Persistence - Lecture 2
Explore spectral geometry through persistence modules and barcodes, examining oscillation of functions and applications to Courant's nodal domain theorem and Bezout's theorem in eigenfunctions.
Courant, Bezout, and Persistence in Spectral Geometry - Lecture 1
Explore spectral geometry and topological persistence, focusing on oscillation of functions, Courant's nodal domain theorem, and Bezout's theorem in the context of eigenfunctions.