ICTP Mathematics Seminar - Tuesday 30 April 2013, at 14:30

[Mabilo]

M A T H E M A T I C S   S E M I N A R S   2013

Tuesday,  30 April, at 14.30 hrs.


Ted Chinburg
(University of Pennsylvania)

"The higher Lehmer conjecture of F. Rodriguez Villegas"

Abstract: This talk will is about work with Ben McReynolds and  Matt 
Stover on variations of the higher Lehmer conjecture of F. Rodriguez 
Villegas. These conjectures concern the unit groups of  algebraic number 
fields. I will make a connection between these conjectures and the 
Cheeger constants of certain flat manifolds which are naturally related 
to units. Cheeger constants measure the size of the minimal codimension 
one submanifold which cuts the original manifold into two disjoint 
pieces of equal volume.

VENUE: Luigi Stasi Seminar Room, first floor , ICTP Leonardo Building