In the first talk (i.e., on 25th of April) I will give some details of the proof that the meager ideal is Tukey reducible to the Mycielski ideal (i.e., the "Marczewski-type" ideal connected to Silver forcing). In the second talk (i.e., on 9th of May) I will present my new result that consistently the null ideal is not Tukey below the Mycielski ideal.