Explore the mathematical connections between Liouville Quantum Gravity and two-dimensional percolation theory in this 52-minute conference talk presented at ICBS2025. Delve into advanced mathematical concepts as the speaker demonstrates how Liouville Quantum Gravity frameworks can be applied to analyze percolation phenomena in two-dimensional systems. Examine the theoretical foundations that bridge quantum gravity models with statistical mechanics, focusing on percolation processes and their geometric properties. Gain insights into cutting-edge research methodologies that combine quantum field theory techniques with probabilistic models to understand critical phenomena in two-dimensional lattice systems.