Department of Mathematics


  •  Konstantinos Kavvadias , University of Cambridge
  •  Conformal removability of SLE_4
  •  02/22/2023
  •  3:00 PM - 3:50 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Dapeng Zhan (

We consider the Schramm-Loewner evolution (SLE_kappa) with kappa=4, the critical value of kappa>0 at or below which SLE_kappa is a simple curve and above which it is self-intersecting. We show that the range of an SLE_4 curve is a.s. conformally removable, answering a question posed by Sheffield. In order to establish this result, we give a new sufficient condition for a set X in the complex plane to be conformally removable which applies in the case that X is not necessarily the boundary of a simply connected domain. This is based on a recent joint work with Jason Miller and Lukas Schoug.



Department of Mathematics
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