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Explore advanced set theory research in this mathematical lecture focusing on forcing the tree property at regular cardinals above ω₁. Learn about the current state-of-the-art construction that achieves the tree property at every regular cardinal in the interval [ω₂, ℵ_{ω²+3}], marking the first time this property has been demonstrated across a singular strong limit. Discover the collaborative research methodology and theoretical foundations behind this breakthrough in set theory, presented as part of the XVIII International Workshop in Set Theory. Gain insights into the mathematical techniques and proofs that advance our understanding of cardinal properties and their applications in modern set theory research.
