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Explore advanced topics in conformal field theory and bootstrap methods through this conference talk featuring two specialized presentations. Learn about a new boundary state in the c=2 Narain CFT from Thibaud Raymond, who presents novel findings on boundary conditions and their implications for two-dimensional conformal field theories. Discover Yixin Xu's work on genus-2 crossing equations in dimensions greater than 2, examining the mathematical structures that govern higher-genus Riemann surfaces and their role in conformal bootstrap calculations. Gain insights into cutting-edge research methodologies in theoretical physics, including the application of bootstrap techniques to constrain and solve conformal field theories, the mathematical framework of Narain compactifications, and the geometric aspects of higher-genus crossing symmetry constraints that advance our understanding of quantum field theory in various dimensions.
