|IAS/PU NUMBER THEORY|
|Topic:||On a Conjecture of Greenberg on Iwasawa Invariants of Totally Real Number Fields|
|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.