On the Hurwitz Existence Problem for Branched Covers Between Surfaces

Explore the intricacies of the Hurwitz existence problem for branched covers between surfaces in this 42-minute lecture by C. Petronio. Delve into the mathematical concepts and theories surrounding this complex topic, gaining insights into the challenges and potential solutions within the field of quantum topology. Examine the relationships between surfaces and their branched covers, and understand the implications of Petronio's research on the broader landscape of mathematical topology.