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Mathematics
Category Theory

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ACM SIGPLAN
Formalizing the ∞-Categorical Yoneda Lemma

Explore the first formalization of ∞-category theory's Yoneda lemma using Rzk, a new proof assistant for synthetic ∞-category theory, paving the way for advanced mathematical proofs.
- YouTube
- 34 minutes
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- Free Video
ACM SIGPLAN
Univalent Double Categories - Formalization and Applications in Category Theory

Explore univalent double categories in category theory, their formalization in Coq, and applications in mathematics and computer science.
- YouTube
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ACM SIGPLAN
Graphical Primitive Recursion for String Diagrams - PLanQC'24

Explore graphical primitive recursion for string diagrams, enabling recursive algorithms in ZX calculus. Learn to convert diagrams to code and execute them, with applications in quantum computing.
- YouTube
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ACM SIGPLAN
Monadic and Comonadic Aspects of Dependency Analysis

Explore monadic and comonadic aspects of dependency analysis, unifying calculi into a framework that addresses limitations of existing approaches and provides novel correctness proofs.
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ACM SIGPLAN
Game-Enriched Categories

Explore game-enriched categories as an enhanced approach to modeling programming languages, potentially offering greater flexibility in strategy definition.
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GOTO Conferences
Basic Category Theory - An Introduction to Mathematical Foundations

Explore fundamental concepts of Category Theory through clear explanations of composition, morphisms, and functors, with practical applications in functional programming.
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Institute for Pure & Applied Mathematics (IPAM)
Plausible Fiction: Accounting for Actualizing Potential

Explore the concept of "plausible fiction" methodology and its role in actualizing potential through mathematical frameworks, caring practices, and category theory applications.
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Institute for Pure & Applied Mathematics (IPAM)
An Enriched Category Theory of Language

Explore how enriched category theory provides a mathematical framework for analyzing language structure and semantics, with applications to large language models and linguistic expressions.
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Institut des Hautes Etudes Scientifiques (IHES)
Strange Gradings and Elimination of Generators

Explorez les liens entre l'élimination des générateurs et diverses théories combinatoires, avec des applications aux décompositions semi-directes.
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Centre International de Rencontres Mathématiques
Differential Categories

Explorez les catégories différentielles et leur application en logique linéaire différentielle dans cette conférence mathématique approfondie.
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BIMSA
Category of SET Orders - Representation Principle for Symmetry Enriched Topological Orders

Explore the representation principle for symmetry enriched topological orders, covering defects, boundaries, symmetry charges, and generalized gauging in physical systems.
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Centre de recherches mathématiques - CRM
Bicategorical String Nets in Quantum Symmetries

Explore bicategorical string nets, pivotal bicategories, and their applications in modular functors and rational CFTs. Gain insights into Frobenius algebras and double categories.
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Exploring physics beyond fundamental laws: designing new forms of matter and addressing Anthropocene challenges. Insights into the evolving landscape of physics research and its societal implications.
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IIT Kanpur; NPTEL
Category Theory

Explore foundational concepts in category theory, emphasizing extrinsic viewpoints and structural relationships. Gain insights applicable to mathematics, computer science, and theoretical physics.
- Swayam
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Explore Scala, functional programming, and asynchronous concepts through hands-on projects and practical exercises designed for students with imperative language experience.
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