Explore two insightful lectures from the "Theoretical and Practical Perspectives in Geophysical Fluid Dynamics" program at the International Centre for Theoretical Sciences. Delve into "Hybrid filtering for Lagrangian Data Assimilation" presented by Amit Apte, and "Tipping Points in Earth Systems" by Valerio Lucari. Learn about advanced techniques in data assimilation for geophysical fluid dynamics and gain a deeper understanding of critical thresholds in Earth's climate systems. These talks, part of a comprehensive two-week program, offer valuable insights into multi-scale and multi-physics topics in atmospheric and oceanic dynamics, combining theoretical approaches, numerical modeling, and observational data analysis.