Events

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            "id": 72734,
            "title": "From Dimers to Maximal Surfaces in Minkowski Space R^{2,1}",
            "slug": "from-dimers-to-maximal-surfaces-in-minkowski-space",
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            "lang": "en",
            "start_date": "2026-10-07",
            "end_date": "2026-10-07",
            "start_time": "15:00:00",
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            "description": "<p>We discuss a class of graph embeddings into Minkowski space R^{2,2} = C^{1,1}, called t-surfaces, which arise in the study of the planar dimer model. A t-surface consists of a (perfect) t-embedding together with its associated origami map. Perfect t-embeddings were recently introduced as a key tool for proving that the gradient of the dimer height function converges to that of the Gaussian Free Field in a canonically associated metric, under suitable technical assumptions. After introducing the notion of a t-embedding, we will describe a construction of perfect t-embeddings for regular hexagons of the hexagonal lattice. In which the corresponding t-surfaces converge to space-like maximal surfaces in Minkowski space R^{2,1}. As a consequence, these constructions yield a new proof of convergence of fluctuations of the dimer height function to the Gaussian Free Field in the conformal structure induced by the limiting maximal surface.</p>",
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            "creation_date": "2026-10-01T16:38:56",
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            "place_and_room": "CM 1 517",
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            "speaker": "Marianna Russkikh",
            "organizer": "Prof. Martin Hairer",
            "contact": "Juliana Velasquez",
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