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Explore the cohomological homotopy rigidity problem for toric varieties in this 42-minute conference talk delivered by Jongbaek Song from Pusan National University at the Fields Institute. Delve into advanced topics in algebraic topology as part of the Algebraic Topology Interactions series, examining the intricate relationships between cohomological properties and homotopy theory within the context of toric varieties. Investigate the fundamental questions surrounding when toric varieties with isomorphic cohomology rings are necessarily homotopy equivalent, and discover the mathematical techniques and theoretical frameworks used to approach this challenging problem in algebraic topology and algebraic geometry.
