## MASS 2023 Course: Gravitational Lenses |
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## Lecture |
## Presentation |
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Syllabus: course overview | odp | ||

01. | Gravitational lenses: definition, light deflection angle, types and applications | odp | |

02. | Cosmological principle, Friedmann-Lemaître-Robertson-Walker metric, perfect fluid, Friedmann equations, cosmological parameters, standard ΛCDM cosmological model |
odp | |

03. | Distance measures in cosmology: proper and comoving distance, angular diameter distance, luminosity distance, distance-duality relation |
odp | |

04. | Observational cosmology: determination of cosmological parameters using Type Ia supernovae and cosmic microwave background radiation |
odp | |

05. | Geometrically thin lens, lens equation, Einstein radius, point-like lenses: image positions and their magnification |
odp | |

06. | Paczyński light curves, binary lenses and their application for detection of exoplanets, pixel lensing |
odp | |

07. | Extended lenses: surface mass density, convergence, deflection (lensing) potential and simple lens models |
odp | |

08. | Fermat potential, lensing time delay and determination of the Hubble constant from the measured time delays of gravitationally lensed quasars |
odp | |

09. | Shear, distortion (Jacobian) matrix, local magnification, critical curves and caustics | odp | |

10. | Weak lensing: reduced shear, mass reconstruction and applications for detection of dark matter |
odp | |

11. | Simple microlens models and their influence on emission from Active Galactic Nuclei, constraints on cosmological parameters from statistics of strong lenses |
odp | |

## Exercises in Python |