Vertex Algebras and Associated Varieties by Anne Moreau
Explore vertex algebras and associated varieties in this lecture by Anne Moreau, part of a workshop on modern representation theory for graduate students and researchers.
Homological Mirror Symmetry: Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry and honor Jeffrey Fuqua's contributions to Mathematics in this insightful conference talk.
Fourier Analysis of Equivariant Quantum Cohomology - Part I
Explore Teleman's conjecture, equivariant quantum cohomology, and Fourier spectral analysis in symplectic geometry. Gain insights into D-module decomposition for projective bundles and blowups.
Homological Mirror Symmetry - Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future research and collaboration in this mathematical field.
Does -1/12 Protect Us From Infinity? - Revisiting the Sum of Integers
Professor Tony Padilla revisits the controversial sum of integers equaling -1/12, exploring new insights and mathematical implications in this intriguing Numberphile video on infinite series.
The Return of -1/12 - Exploring Divergent Series in Mathematics
Explore the controversial sum 1+2+3+... = -1/12 with UC Berkeley's Tony Feng. Delve into mathematical concepts, interpretations, and the ongoing debate surrounding this intriguing result.
Dimer Models and Random Tilings - Part 2
Explore dimer models, perfect matchings, and tilings with advanced mathematical tools. Delve into Kasteleyn's theory, combinatorial correspondences, and asymptotic methods for large-scale limits.
Symmetric Functions: Formulas, Combinatorial Models, and Applications - Part 2
Explore advanced concepts in symmetric functions, their applications in combinatorics and representation theory, and their role in statistical mechanics as partition functions.
Dylan Langharst: Higher-Order Affine Isoperimetric Inequalities
Explores extensions of geometric inequalities to higher-order bodies, including projection, centroid, LYZ, and radial mean bodies, with proofs of associated inequalities in convex geometry.
Geometric Functional Inequalities, Old and New
Explore geometric functional inequalities as convexity statements, linking Ehrhard's and Bobkov's inequalities, and discover new generalizations in this insightful mathematical lecture.
Rademacher Projection in Non-Symmetric Convex Bodies - Alexander Litvak
Explores the Rademacher projection in non-symmetric convex bodies, proving sharpness of bounds and discussing implications for Banach-Mazur distances and mean zero functions.
Sequential Change-point Detection in Stochastic Differential Equations
Explore advanced techniques for detecting change-points in stochastic differential equations, focusing on sequential methods and their applications in statistical analysis.
On Variants of Specht Polynomials and Random Geometry
Explore connections between Specht polynomials, conformal field theory, and random geometry. Discover algebraic structures in statistical mechanics models and their geometric interpretations.
Dimers and M-curves: Limit Shapes from Riemann Surfaces
Explore dimer models, M-curves, and limit shapes through algebraic geometry, integrating Riemann surfaces and Schottky uniformization. Gain insights into statistical mechanics and discrete geometry.
Fluctuations of Linear Eigenvalue Statistics in Sample Covariance Matrices - Tensor Product Data
Explore fluctuations in linear eigenvalue statistics of sample covariance matrices with tensor product data, comparing normal and uniform distributions on unit sphere.
Defense Against the Dark Art of Mathematics
Explore strategies to overcome math anxiety and build confidence in problem-solving, transforming the perception of mathematics from a daunting subject to an accessible and engaging discipline.
Spectrum of Sparse Inhomogeneous Random Graphs
Explore the spectrum of sparse inhomogeneous random graphs, examining structural properties and applications in network science, probability theory, and statistical physics.
Path Convergence of Markov Chains on Large Graphs
Explore path convergence of Markov chains on large graphs, examining theoretical aspects and applications in network science, probability theory, and complex systems analysis.
Algorithms on Networks
Explore algorithms for network analysis, optimization, and control. Learn techniques for solving complex problems on graphs and networks, with applications in various fields.
Spin Systems on Spatial Random Graphs
Explore spin systems on spatial random graphs, examining their properties, dynamics, and applications in network science and statistical physics.
Best Arm Identification Through Fluid-Based Methods
Explore fluid-based methods for best arm identification in multi-armed bandit problems. Learn innovative techniques to optimize decision-making in uncertain environments.