Metroplex Algebraic Geometry, Algebra and Number Theory (AGANT) Seminar,
a joint venture of
Date/Time/Room: Friday (10/23/2009) at 4:30 pm in 304 Pickard Hall
Dr. Gregory Wene, Professor,
Department of Mathematics,
University of Texas, San Antonio.
Abstract: We use the term ``semifield'' to refer to a finite division ring with identity element that is not associative. Following some basic definitions and a brief history, we will compare & constrast semifields with finite fields.
The areas of discussion will be existence, structure, and automorphisms. We will see how the vast number of semifields requires a yet-to-be-found classification system. The subsemifield structure will be examined, as will the existence of primitive elements.
One of the surprises is that commutative semifields possess inner automorphisms.
A map of UTA may be found at
http://www.uta.edu/maps/, and directions to UTA are on that website.
Note that PKH is the triangular building in the central-campus region of the map. Select Pickard Hall from the building selector. PKH is next to the ``garage'' & is on Nedderman Dr between Planatarium Place (aka College St) & West St. West St is one-way northbound
between W Mitchell St and 3rd St. Parking is available in the nearby (East and SE of PKH) parking lots with a UTA permit (but many people park there late on Fridays with no permit). There are a few metered parking spots on the East side of Pickard Hall on
West St. Visitor (free), & metered, parking is available by Davis Hall (marked DH in SW part of the submap). A parking garage (expensive) is nextdoor to PKH (use West St to get to it). Note that if heading south on Cooper, then no left turn is allowed to Nedderman
Note that PKH 304 is on the 3rd floor of PKH; turn right out of elevator on 3rd floor.