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Explore the integral cohomology ring of a toric surface in this 43-minute conference talk by Jongbaek Song from Pusan National University. Delivered as part of the Workshop on Toric Topology at the Fields Institute on August 22, 2024, the presentation delves into advanced mathematical concepts within the field of toric geometry. Gain insights into the structure and properties of cohomology rings associated with toric surfaces, and understand their significance in algebraic topology and geometry. The talk is part of a broader Focus Program on Toric Topology, Geometry and Polyhedral Products, offering a comprehensive exploration of current research and developments in this area of mathematics.