Lectures related to The Importance of Theory

Natural Transformations: Functors and Categories

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Random Field Ising Model: Overview and Analysis

Provides an in-depth analysis of the Random Field Ising Model, covering model description, free entropy, and mean field algorithm.

Exploring Evolution: Molecular Evidence and Mechanisms

Explores molecular evidence and mechanisms of evolution, including phylogenetic trees and protein comparisons.

Active Learning Session: Group Theory

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Big Data and Social Sciences: The Need for Big Theory

Emphasizes the importance of big theory in social sciences when dealing with big data and the need for new conventions in the field.

Introduction to Convexity

Introduces the key concepts of convexity and its applications in different fields.

Hartree-Fock Equations for N Fermions

Discusses the minimization of the Hartree-Fock functional for N fermions and the variational principle in quantum physics.

Active Learning: Group Theory

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

Equivalences of Categories

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Homotopical Algebra

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Quantum Mechanics: Time Evolution

Explores time evolution in quantum mechanics, covering compatibility, uncertainty, and evolution properties.

The Role of Symmetries

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Covalent Bonding: Orbital Stability

Explores covalent bonding stability and orbital properties in molecules like H₂ and He.

Group Theory: Adjoint Functors and G-sets

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Linear Applications and Simple Objects

Covers the bijection between linear applications from L(X) to V and applications from X to U(V).

Hartree-Fock Equations for N Fermions

Explores Hartree-Fock equations, variational principles, excited states, and quantum physics concepts.

Origins of Earth: Religious & Scientific Perspectives

Explores Earth's origin theories, from religious myths to scientific inquiries, highlighting key historical figures and the clash between religious beliefs and scientific discoveries.

Implicit Functions: Introduction and Examples

Explores implicit functions through examples and applications, covering differentiation and functions defined implicitly.

Dominance and Social Hierarchy

Explores dominance and social hierarchy in humans, including indicators of dominance, hormones' role, and leadership in contemporary societies.

Enterprise and Service-Oriented Architecture: Team Creation and Meeting Preparation

Covers key learning points, team creation, meeting preparation, and the theory behind interviews.