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(Algebraic Geometry, Algebra and Number Theory Seminar)

a joint venture of   UNT, UTA and TCU

Date/Time/Room: Fri September 16, 2005 at 4:00 pm in PKH1 487 at UTA
                          Refreshments will be served at 3:45 pm.
Speaker: Dr. Alexander Retakh, Department of Mathematics, The University of Texas at Arlington

  Title: Modular Conformal Algebras

Abstract: Conformal algebras first appeared in the attempt to provide rigorous algebraic foundations for conformal field theory. From a purely mathematical point of view, they describe a rich class of infinite-dimensional Lie algebras.  So far, we have a lot of examples of conformal algebras but many classification
questions are still wide open, in part because standard representation-theoretic methods often fail in the setting of conformal algebras.  A new idea is to switch to characteristic p and use analogs of conformal algebras as a "testing ground" for the characteristic zero case.  I will give a general introduction to conformal algebras and discuss what new insights we can gain from these characteristic p analogs.


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 Sept 4, 2004)
If you are travelling from out of town, 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 submap, next to the "garage" & is on Nedderman Drive between College St & West St. West St is now 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 and are not caught). Visitor (free), & metered, parking is available by Davis Hall (marked DH in SW part of submap). A parking garage ($7 max)  is next door 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 (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 and Pecan St is now permanently closed.)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 Minerva Cordero at