We will discuss the percolation model on the hexagonal grid. In 2001 S. Smirnov proved conformal invariance of its scaling limit through the use of a tricky auxiliary combinatorial construction.
We present a more conceptual approach, implying that the construction in question can be thought of as geometrically natural one.
The main goal of the talk is to make it believable that not all nice and useful objects in the field have been already found.
No background is required.
- Stochastic Analysis Seminar