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 |