The mass distribution in our universe gravitationally distorts light from galaxies, making galaxy shapes a powerful probe of cosmology. Visually overlapping galaxies along the line of sight, a problem known as blending, will negatively impact shape measurements taken from the Rubin Observatory Legacy Survey of Space and Time (LSST), the most powerful ground-based optical cosmology survey to date.

In this talk, I will discuss the blending problem in the context of LSST and the challenges that it represents for the collaboration. Then, I will survey state-of-the-art solutions that have been developed via algorithms known as deblenders. Finally, I will describe how these approaches fit together in the broader context and try to anticipate what the future of the blending problem looks like.