Interactions between fluids and solids are happening everywhere in our daily live. Whether it is a football floating through the air, an airplane flying through the wind or blood floating through our body--interaction between fluids and solids are happening. The talk will introduce how mathematically the difference between fluid matter and solid matter can be captured. Later it aims to give an intuition on some mathematical challenges related to fluid-solid interactions. An emphasis is given on elastic deformable solids.