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Local Testability of Tessellated Surfaces

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OGGW04 - Stability and probabilistic methods

Let k>6. We prove that if the links of most vertices in a 2-dimensional simplicial complex are k-cycles then the complex is close to one in which all vertex links are k-cycles. I will relate this result to a variant of flexible stability for 2-orbifold groups and outline some of the ingredients of the proof. Based on work in progress with Irit Dinur, Arie Levit and Eyal Litvin.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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Room GS5, Donald McIntyre Building, Faculty of Education, 184 Hills Road, Cambridge CB2 8PQ Average on Saturdays: 7852.13095238 kWh Seminar Room, James Dyson Building, Dept of Engineering, University of Cambridge

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