Explore the fascinating world of random graph embeddings in surfaces through this 48-minute MUNI Seminar Series lecture. Delve into the concept of homeomorphism classes of 2-cell embeddings and their correspondence with rotation systems around graph vertices. Learn about the inclusion of nonorientable surfaces using signature functions. Discover the principles of "Random Topological Graph Theory" as the speaker provides a concise overview of existing results in this field. Gain insights into recent developments and advancements in the study of random 2-cell embeddings, offering a comprehensive look at this intriguing area of mathematical research.