Explore the intricacies of graph and hypergraph sparsification in this comprehensive computer science and discrete mathematics seminar presented by Luca Trevisan from Bocconi University. Delve into the topic's motivation, spectral definition, and applications to general and irregular graphs. Examine the proof techniques for both weighted and unweighted graphs, addressing deficiencies and culminating in the final result. Gain valuable insights into this advanced area of study through Trevisan's expert analysis and explanations over the course of 1 hour and 34 minutes.