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Interacting SLE paths

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  • UserDr Jason Miller, MIT
  • ClockWednesday 07 November 2012, 15:00-16:00
  • HouseMR9.

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Imaginary Geometry and the Gaussian Free Field short course

The purpose of this talk is to describe the manner in which the flow lines of eih/x where h is a GFF and x > 0 interact with each other. In contrast to the case when h is a smooth function, flow lines of different angles can bounce off of each other and even merge. I will then describe how, using this machinery, it is possible to give visual and intuitive proofs of many different results regarding the behaviour of the SLE trace. These will include the continuity of the SLE k(p) processes (the most natural class of SLE variants), new path decompositions of the non-simple SLEs, as well as the invariance of the law of SLE and its variants under time-reversal. (Based on joint works with Scott Sheffield)

This talk is part of the Cambridge Centre for Analysis talks series.

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