R. Kashaev - The Connection Between Integrals and Fourier Series
Explore the intricate relationship between integrals and Fourier series, delving into mathematical concepts that bridge these fundamental analytical tools in advanced calculus and mathematical physics.
Don Zagier: Holomorphic Quantum Modular Forms
Explore holomorphic quantum modular forms, their connections to number theory and quantum knot invariants, and applications in odd weight Eisenstein series and Maass cusp forms.
Thermodynamical Formalism and Markoff-Hurwitz Equations
Explore connections between Diophantine geometry and fractals through Markoff-Hurwitz equations, transfer operators, and thermodynamical formalism. Discover links to various mathematical areas.
Stochastic Ricci Flow on Surfaces
Explores stochastic Ricci flow in 2D, introducing its formulation, symmetry properties, and construction of weak solutions. Discusses implications for compact surfaces and open questions.
On Bodies Floating in Equilibrium in Every Direction
Explore Ulam's Problem 19 on floating solids, examining historical and contemporary findings related to uniform density objects and their buoyancy properties.
Regularity of Free Boundaries in Obstacle Problems - Lecture IV
Explore advanced concepts in free boundary problems, focusing on regularity in obstacle problems. Learn key results, current research, and open challenges in this mathematical field.
Regularity of Free Boundaries in Obstacle Problems - Lecture II
Explore free boundary problems in PDE, focusing on regularity in obstacle problems. Learn key results, current research, and open questions in this mathematical field.
Generalized Kähler Constant Scalar Curvature Problem
Explore the generalized Kähler constant scalar curvature problem, including moment map framework, Calabi Problem, and new examples on P^2 for toric Poisson manifolds.
T-Duality and Generalized G_2 Structures
Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering new insights into manifold structures and their properties.
T-Duality and Generalized G_2 Structures
Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering insights into manifolds with unique geometric properties.
Carlos A. Ruiz, UNAM - Quantum Toric Geometry, Generalized Geometries & O-Minimality Conference
Explore advanced mathematical concepts in quantum toric geometry, generalized geometries, and o-minimality with expert Carlos A. Ruiz from UNAM in this in-depth conference presentation.
Determinantal Point Processes - Lecture 3
Explore advanced concepts in determinantal point processes, focusing on mathematical theory and applications in random matrix theory and point processes.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 2
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and statistical mechanics.
Determinantal Point Processes - Lecture 1
Explore determinantal point processes with Alexander Bufetov, delving into mathematical concepts and applications in random matrix theory.
Heat and Schroedinger Evolution on Degenerate Riemannian Structures
Explore heat and Schrödinger evolution on degenerate Riemannian structures with expert Ugo Boscain. Gain insights into advanced mathematical concepts and their applications.
Information Theoretic Inequalities for Stable Densities
Explore information theoretic inequalities for stable densities, delving into advanced mathematical concepts and their applications in geometry, physics, and probability.
Regularity of the Boltzmann Equation in Bounded Domains - I
Explore the regularity of the Boltzmann equation in bounded domains, focusing on advanced mathematical concepts and applications in geometry, physics, and probability theory.
Quantization of Measures - A Gradient Flow Approach
Explore gradient flow techniques for measure quantization, examining applications in geometry, physics, and probability theory.
Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 1 of 5
Explore symbolic dynamics for nonuniformly hyperbolic systems, focusing on Markov Partitions and Young Towers. Learn advanced techniques to analyze complex dynamical systems and their statistical properties.
Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 5
Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, examinando conceptos clave y resultados recientes en geometría algebraica aritmética.
Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 4
Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, abordando conceptos de geometría algebraica y teoría de números.