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Explore the mathematical foundations of Markov categories in this seminar lecture delivered by Professor Tobias Fritz from Leopold-Franzens Universität Innsbruck at the Isaac Newton Institute. Delve into the categorical approach to probability theory and stochastic processes, examining how Markov categories provide a unified framework for understanding probabilistic structures and their morphisms. Learn about the fundamental properties and applications of these mathematical structures within the broader context of causal inference theory and practice. Gain insights into how categorical methods can illuminate connections between probability, statistics, and causal reasoning, with particular emphasis on the theoretical underpinnings that bridge abstract mathematical concepts with practical applications in data science and statistical inference.