Caucher Birkar: "From Algebra to Geometry" Since the ancient times people have tried to understand systems of polynomial equations for practical and/or abstract reasons. It was slowly understood that geometry can be used to understand such equations by "graphing" their solutions in some appropriate space. The geometric picture provides a window for our intuition to guide us in how to investigate the qualitative nature of the solutions while algebra provides the machinery for rigorous proofs. In this talk I will try to explain some aspects of this story in simple terms. The opinions expressed in this video do not necessarily reflect the views of the Heidelberg Laureate Forum Foundation or any other person or associated institution involved in the making and distribution of the video.