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.
Blow Up Solution for the Energy Critical Heat Equation - Lecture II
Explore classical results and recent developments in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, and the inner-outer method.
Traces of CM Values and Geodesic Cycle Integrals of Modular Functions
Explores generating series of CM value traces and geodesic cycle integrals of modular functions, covering theta lifts and applications to L-series and cycle integral rationality.
Blow Up Solution for the Energy Critical Heat Equation
Explore classical results and recent developments in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, using the inner-outer method.
The Polynomial Method for Point Counting and Exponential Sums - Lecture IV
Explore advanced techniques for counting points on curves over finite fields and estimating exponential and character sums using auxiliary polynomial families.
The Restriction Problem and the Polynomial Method - Lecture IV
Explore Stein's restriction conjecture, Kakeya conjecture, and the polynomial method in restriction theory. Understand wave packet decomposition and intersection of tubes in hypersurfaces.
The Restriction Problem and the Polynomial Method - Lecture III
Explore Stein's restriction conjecture, Kakeya conjecture, and the polynomial method in restriction theory. Understand wave packet decomposition and intersection of tubes in hypersurfaces.
Valentin Blomer: The Polynomial Method for Point Counting and Exponential Sums
Explore advanced techniques for counting points on curves over finite fields and estimating exponential sums using families of auxiliary polynomials.
The Polynomial Method for Point Counting and Exponential Sums
Explore how auxiliary polynomials aid in counting points on curves over finite fields and estimating exponential and character sums.
Differential Geometry - Lecture 14
Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry.
Differential Geometry - Lecture 12
Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry and physics.
Differential Geometry - Lecture 11
Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture.
Differential Geometry - Lecture 10
Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry and physics.
Differential Geometry - Lecture 1
Explore fundamental concepts and principles of differential geometry in this comprehensive lecture by mathematician Claudio Arezzo.
Higher Topological Complexity of Seifert Fibered Manifolds
Explore LS-category and topological complexity of Seifert fibered manifolds, examining lower bounds for higher TC using cohomology class weights and deriving TC_n ranges.
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.
Introduction to Generalized Kahler Geometry II
Explore generalized Kähler and bihermitian structures, focusing on 4D features and extending to higher dimensions. Examine holomorphic Poisson geometry and analogs of standard Kähler properties.
Introduction to Generalized Kahler Geometry I
Explore generalized Kähler and bihermitian structures, focusing on 4D features and extending to higher dimensions. Examine holomorphic Poisson geometry and analogs of standard Kähler 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 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.