# Mathematical Sciences Research Institute

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# Seminar

Chern Lecture: Self-avoiding walk on the hexagonal lattice November 06, 2013 (04:00 PM PST - 05:00 PM PST)
Location: 50 Birge Hall, UC Berkeley
Speaker(s) Stanislav Smirnov
Description No Description
Video
How many simple length $n$ trajectories one can draw on a lattice? It is easy to show that the number grows exponentially, but going beyond this observation is difficult. We will present our joint work with Hugo Duminil-Copin, giving a short and self-contained derivation of the Bernard Nienhuis conjecture that on hexagonal lattice this number grows like $(\sqrt{2+\sqrt{2}}^n$. Then we will discuss its relations to conformal invariance and other conjectured properties of the self-avoiding walk.