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Explore a general framework for homomorphism testing in this 37-minute conference talk from the ICTS Workshop on High Dimensional Expanders and Codes. Delve into the theoretical foundations and methodologies that underpin homomorphism testing, examining how this framework applies across different mathematical structures and computational contexts. Learn about the connections between homomorphism testing and broader themes in theoretical computer science, including its relevance to high dimensional expanders and error-correcting codes. Discover the mathematical principles that govern the testing of structure-preserving mappings between algebraic objects, and understand how these concepts contribute to advances in complexity theory and combinatorial optimization. The presentation provides insights into current research directions and potential applications of homomorphism testing frameworks in computational mathematics and theoretical computer science.
