Resumen de Hausdorff dimensions for SLE6

Vincent Beffara

• We prove that the Hausdorff dimension of the trace of SLE6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler–Schramm–Werner) that the dimension of its boundary is 4/3. We also prove that, for all κ<8, the SLEκ trace has cut-points.