# AGANT SEMINAR

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

a joint venture of UNT, UTA and TCU

#### __Date/Time/Room:__ Fri Mar 5, 2004, at 3:30 pm in
PKH^{1} 487 at UTA

Refreshments will be served at 3:15 pm.

__Speaker:__ Dr. Ruth Gornet,
Department of Mathematics, UTA

*``Mutually Isospectral Riemann Surfaces'' *

**Abstract:** Using a purely algebraic construction called the Sunada
construction, we construct large families of Riemann surfaces that are mutually
isospectral, thus demonstrating that algebra and analysis are beautifully
intertwined. By large families we mean families that grow at the rate *e*^{g}^{log(g)}
as the genus *g* approaches infinity. Prior to these examples, Buser
constructed an upper bound of *e*^{cg2}, and Tse
constructed a "lower" bound of *g*^{½}.

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 Feb 28, 2004)

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, and PKH is in the SE corner of that map, next
to the "garage" & is on Nedderman Drive between College St & West
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
and are not caught). Visitor (free), & metered, parking is available
by Davis Hall (marked DH in South West part of map). 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 Drive. Recommended
route
from UNT: eventually head south on Hwy 360 (or Industrial Blvd = Collins)
West on Abram, south on Pecan, West on 4th, South on West St. Then use map.
From TCU: east on I30, exit Cooper, South on Cooper, left (East) on
W Mitchell,
then use map. (Note that Nedderman Drive between Oak St and Pecan St is now
permanently closed.) From anywhere else: good luck!

Note that PKH 487 is on the 4th floor of PKH; turn right out of elevator
on 4th 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.