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This lecture explores the application of free fields and conformal blocks in creating trial many-body wave functions for quantum Hall effect, with a focus on Laughlin states and their generalizations. Learn how to construct Laughlin states on compact higher genus surfaces using free field techniques, and discover recent findings about integer Quantum Hall Effect states on hyperbolic cylinders. The presentation draws from upcoming research work with P. Wiegmann, providing insights into quantum states on non-Euclidean geometries. The 59-minute talk delivered by Semyon Klevtsov at the Hausdorff Center for Mathematics offers valuable perspectives for researchers interested in the intersection of quantum physics and geometric topology.
