# On a Conjecture of Greenberg on Iwasawa Invariants of Totally Real Number Fields

 IAS/PU NUMBER THEORY Topic: On a Conjecture of Greenberg on Iwasawa Invariants of Totally Real Number Fields Speaker: Conjeeveram Rajan Affiliation: Max-Planck Institute für Mathematik, Germany and Member, School of Mathematics Date: Thursday, April 19 Time/Room: 4:30pm - 5:30pm/S-101

We show that Leopoldt's conjecture for totally real number fields implies Greenberg's conjecture on the uniform boundedness of the $p$-primary part of the class groups of the finite extensions along the cyclotomic tower of a totally real number field.