Concept

Road map

Related lectures (31)

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Homology of Riemann Surfaces

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

Cyclic Subspace Decomposition

Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

Homotopy Coherent Groups and Quasi-Categories

Covers the characterization of trivial Kan fibrations and the importance of homotopy coherent groups.

Active Map Building: Exploration

Explores the basics of Simultaneous Localization and Mapping (SLAM), focusing on map creation techniques and prediction of measurements.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Bayesian Inference: Error Minimization

Discusses error minimization in Bayesian inference and the importance of prior knowledge in the inference process.

Cohomology: Cross Product

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Cartography: Spatial Language

Delves into the unique position of cartography as a spatial language.

Model Categories: Properties and Structures

Covers the properties and structures of model categories, focusing on factorizations, model structures, and homotopy of continuous maps.

Map Creation and Layout: Elements and Aesthetics

Covers map layout elements, aesthetics, and formatting using QGIS Print Composer for electronic publication.

Meromorphic Functions & Differentials

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Spin Glasses and Bayesian Estimation

Covers the concepts of spin glasses and Bayesian estimation, focusing on observing and inferring information from a system closely.

Map Components and Functions

Covers the concept of cartography, thematic maps, and map components.

Mapping: A Spatial Language

Delves into the principles and major issues of mapping, emphasizing the communication efficiency and creativity involved in cartographic work.

Plates III: Mechanics of Slender Structure

Covers Föppl-von Kármán equations, Airy potential, plate theory simplifications, and buckling of plates.

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Parallel Scan Left

Introduces parallel scan left in Scala, covering its properties, sequential solutions, and efficient parallel computation techniques.

Practical Demo on Gemini-SEM

Offers a hands-on demonstration of the Gemini-SEM 300, covering 3D imaging, EDX analysis, and specimen mapping.

Serre model structure on Top

Explores the Serre model structure on Top, focusing on right and left homotopy.