# METROPLEX AGANT SEMINAR

### (Algebraic Geometry, Algebra and Number Theory Seminar)

a joint venture of UNT, UTA and TCU

#### __Date/Time/Room:__ Fri Oct 13, 2006, at 4:00 pm in
PKH^{1} 304 at UTA

Refreshments will be served at 3:30 pm (see below).

__Speaker:__
Professor
David Saltman, Mildred Caldwell and Baine Perkins Kerr Centennial
Professor,
Department of Mathematics, U.T. Austin

*``Division Algebras over Surfaces''*

**Abstract:**
When *D/F* is a division algebra (with center *F*), we know that
the possible properties of *D* are a subtle invariant of the
structure of *F*. The most famous example of this is the
Hasse-Brauer-Noether-Albert theorem that if *F* is a global
field, *D* is a so-called cyclic algebra. As in this case,
we know much more about *D/F* when *F* is somehow
one-dimensional.
In our search for more examples, recently there has been
real progress in the case *F* is two-dimensional, for example,
when *F* is the function field of a surface. In this talk we will
discuss some results about division algebras over surfaces
(in this sense), and mention further problems.

Note that there will be a colloquium talk the same day at UTA at 2:30 pm
by the same speaker. Please see
http://www.uta.edu/math/pages/main/seminar.htm#colloquium
for more details. Refreshments will be served in PKH 304 between the
two talks.

Please mention/email this talk to any interested parties
and to your students if you are teaching an advanced undergraduate algebra
class or a graduate algebra class.

^{1}Driving & Parking (Revised Jan 12, 2006)

If you are travelling from out of town, then a map of UTA may be found at
http://www.uta.edu/maps/. Note that
PKH is the triangular building in the central-campus region of the map.
Click on central campus to zoom in, & PKH is in the SE corner of that
submap, next to the "garage" & is on Nedderman Drive between College St
(aka Planatarium Place) & West St.
West St is one-way northbound between W Mitchell St & 3rd St. Parking
is available in the nearby (East & SE of PKH) parking lots with a UTA
permit (but many people park there late on Fridays with no permit & are
not caught). 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 Dr.
Recommended route from UNT: eventually head south on Hwy 360 (or Industrial
Blvd = Collins), West on Abram, south (left) on Center, West (right) on
W Mitchell. Then use map. Alternatively, get to I30 heading East, & follow
directions from TCU given below. From TCU: east on I30, exit Cooper, South
on Cooper, left (East) on W Mitchell, then use map. (Note that Nedderman
Drive between West St & Pecan St is permanently closed.)

Note that PKH 304 is on the 3rd floor of PKH; turn right out of elevator
on 3rd floor.

Questions, etc on arrangements/directions? Contact Michaela Vancliff.
Please notify us if coming from out of town, since, if you are a little
late, we will delay the start of the talk for you.