We are living in an exciting era of great discoveries in the field of gravitational physics. The detection of gravitational waves by the LIGO-VIRGO-KAGRA (LVK) collaboration starting from 2016 has already led to an enormous interest in various aspects of the physics of compact objects. The recent observations of the shadows of the galactic centers for M87 and Milky Way, by the Event Horizon Telescope (EHT), have further resulted into diverse research programs on the nature of compact objects. The primary emphasis of these observations is to test the theory of general relativity at the strong-field regime and to understand the nature of the astrophysical compact objects. Several recent developments led to the extensive use of various new mathematical and computational techniques to probe the physics associated with these compact objects. The primary motivation of the school would be to learn from leading researchers about several crucial aspects of the physics of compact objects. The p...
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