Probability seminar: Probability of knotting for curves and surfaces in lattices

2 October 2015, 3.40 PM - 2 October 2015, 4.40 PM

Stuart Whittington, University of Toronto

SM3, School of Mathematics

Stuart Whittington, University of Toronto

Probability of knotting for curves and surfaces in lattices

Knotting is ubiquitous in long flexible objects. Garden hoses and telephone cords get entangled and so do molecules like DNA. The first half of the seminar will review some old results about the probability of knotting in lattice polygons (a simple but useful model of polymers like circular DNA) and some open problems will be outlined. It is natural to ask about higher dimensional analogues and the second half of the talk will describe some recent results on the probability of knotting of 2-spheres in four dimensional lattices.

Contact information

Organisers: Marton Balazs, Haeran Cho

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