Mathematics Colloquium

New research results at UNO

Department of Mathematics
University of Nebraska at Omaha


WHEN:
Wednesday, December 1, 2004 at 2:30 PM

WHERE:
Durham Science Center, Room 255

WHAT:


Griff Elder

University of Nebraska at Omaha


will give a talk on

Truncated Exponentiation and a refined Kummer Theory for Elementary Abelian Extensions


ABSTRACT:
Kummer extensions are the first algebraic extensions one encounters in an undergraduate abstract algebra class. In this talk, we will consider a special class of p-adic Kummer extension, one that is invariant under the action of the ring of Witt vectors. As a result of the additional structure (imposed by this action), these extension exhibit some very nice behavior: stability of ramification and a particularly nice Galois module structure of ideals. We will close with a conjectural "big picture."


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