# AGANT SEMINAR

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

a joint venture of UNT, UTA and TCU

*``Quantum Physics, the Quantum Yang-Baxter Equation
and the Algebras Arising Therefrom'' *

**Abstract:**
The quantum Yang-Baxter equation arises in quantum mechanics and is an
important tool for understanding the excited states of electrons within
atoms. This talk will focus on noncommutative algebras associated (via a
certain construction) to square matrices, and on how matrix solutions of the
quantum Yang-Baxter equation are intimately connected with representations
of (modules over) the algebras associated to the solutions. The talk will
assume a basic knowledge of tensor products and algebras defined by
generators and relations, and will be directed at advanced undergraduates
and above. The speaker is not a physicist and will not answer any technical
(or nontechnical) physics questions; those should be addressed to Yang and/or
Baxter.

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 Sept 4, 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 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 (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 (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.) 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.