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Almgren's Center Manifold in a Simple Setting

Explore Almgren's center manifold theory through a simplified toy case, proving C³,α regularity for minimal surfaces using elementary methods without Schauder estimates.
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Explore advanced theories of Brakke flow, focusing on existence and regularity aspects in this in-depth lecture by Yoshihiro Tonegawa from Tokyo Institute of Technology.
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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.
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Explore recent developments in regularity theory for maximal operators, focusing on Sobolev and BV data. Accessible overview of an active research area with open questions.
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Existence and Regularity Theories of Brakke Flow

Explore existence and regularity theories of Brakke flow, covering initial configuration, linear and alpha regularity, dispersed irregularity, and the Monotonicity Formula for minimal surfaces.
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Singularities of Minimizing Harmonic Maps

Explore singularities of minimizing harmonic maps, delving into mathematical concepts and theories with expert insights from Michał Miśkiewicz.
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Explore conserved quantities and regularity in fluid mechanics, gaining insights into fundamental principles and advanced concepts in this field.
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Explore sharp rectifiability results for singular sets of minimizing harmonic maps, with uniform Minkowski bounds and integrability. Analyze quantitative stratification and dimension-reduction techniques.
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Explore harmonic maps with free boundary, covering existence, regularity, and parabolic blow-up. Examine elliptic and parabolic problems, recent advances in regularity theory, and geometric applications to the Steklov problem.
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Centre de recherches mathématiques - CRM
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond

Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Examine model theory applications.
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Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
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An Excursion into Mean Curvature Flow

Explore mean curvature flow's regularity theory, focusing on distinctions between one-dimensional and higher-dimensional flows in this geometric analysis lecture.
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Explore rough paths, combinatorics, and regularity in physics, focusing on Brownian motion and its applications in mathematical analysis.
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On the Regularity Implied by the Assumptions of Geometry

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