(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 PKH1 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 eglog(g) as the genus g approaches infinity. Prior to these examples, Buser constructed an upper bound of ecg2, and Tse constructed a "lower" bound of g½.

  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.

1Driving & Parking (Revised Feb 28, 2004)
(NOTE: there is construction on the UTA campus)
If you are travelling from out of town, then a map of UTA may be found at 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.