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Explore the intricate connections between 2-dimensional gauge theories and Picard-Fuchs equations in this specialized mathematical lecture. Delve into the theory of open correlators within the framework of 2d gauge theories and discover how they relate to the differential equations that govern periods of algebraic varieties. Learn about the mathematical structures underlying Calabi-Yau varieties and their applications in theoretical physics, particularly in string theory and mirror symmetry. Examine the computational techniques used to analyze these correlators and understand their geometric interpretations. Investigate the role of Picard-Fuchs equations in describing the variation of Hodge structures and their significance in algebraic geometry. This presentation is part of the GADEPs focused meeting on Calabi-Yau Varieties, offering advanced insights into the intersection of algebraic geometry, differential equations, and mathematical physics for researchers and graduate students working in these fields.
