PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title:Generalized Witt vectors and an interpretation
Seminar:Algebra and Number Theory Seminar
Speaker:Lance Edward Miller, University of Arkansas
Abstract:
The classic or p-typical Witt vectors are ubiquitous throughout algebra and number theory as they recover functorially the rings of integers of unramified extensions of Q_p. Of more recent use in p-adic Hodge theory has been Cartier's so called `big' Witt vectors utilized to construct the big de Rham-Witt complex. Both of these versions of Witt vectors fit into a common framework developed in the 1980s unifying Witt vectors with functorial constructions of Burnside groups. This process now is seen as constructing an endofuctor on the category of commutative rings for each profinite group G. The choice of additive p-adics recovers the classic p-typical Witt vectors and the choice of Z-hat recovers Cartier's big Witt vectors.  In this talk, I'll describe a series of results concerning the choice G = Z_p^d with d >= 2 which shows that these generalizations behave in a far more surprising manner than their classic counterparts. Towards the end, I will give a concrete characterization in the case d = 2. 

Room Reservation Information

Room Number:MB106
Date:05 / 01 / 2014
Time:11:15am - 12:05pm