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Mathematics Colloquium: Topology and Geometry of Random Cubical Complexes

Speaker:  Erika Roldan, TU Munich and EPFL

Title:  Topology and Geometry of Random Cubical Complexes

Abstract:  In this talk, we explore the topology and local geometry of different random cubical complex models. In the first part of the talk, we explore two models of random subcomplexes of the regular cubical grid: percolation clusters (joint work with David Aristoff), and the Eden Cell Growth model (joint work with Fedor Manin and Benjamin Schweinhart). In the second part of the talk, we study the fundamental group of random 2-dimensional subcomplexes of an n-dimensional cube; this model is analogous to the Linial-Meshulam model for simplicial complexes (joint work with Matt Kahle and Elliot Paquette).

Time:  Friday, November 19, 2021, 3:30pm – 4:20pm

Virtual Talk.  Link posted soon