UTA Department of Mathematics

Metroplex Algebraic Geometry, Algebra and Number Theory (AGANT) Seminar,
a joint venture of   UNT,   UTA   and   TCU

Date/Time/Room: Friday (3/6/2009) at 4:00 pm in 304 Pickard Hall

Speaker: Dr. Gaywalee Yamskulna, Assistant Professor,
Department of Mathematical Sciences, Illinois State University.


"Rationality of the Vertex Algebra VL+ when L is a Non-degenerate Even Lattice of Arbitrary Rank"

Abstract: Vertex algebras are rich algebraic structures which play an important role in many active and relatively new areas of mathematics and physics. They were introduced to mathematics in the work of the Fields medalist Richard Borcherds and developed by others such as Frenkel, Lepowsky and Meurman in 1980's. In physics, they are part of string theory where they appear as the chiral algebras of two-dimensional conformal field theory.

In this talk, I will first discuss about one of the main conjectures in the theory of vertex algebras. Next, I will review the construction of vertex algebras VL+. These vertex algebras are one of the most important classes of vertex algebras. They were originally introduced in the Frenkel-Lepowsky-Meurman construction of the moonshine module vertex algebra. Finally, I will discuss about the representation theory of the vertex algebra VL+ when L is a non-degenerate even lattice of arbitrary rank.


A map of UTA may be found at http://www.uta.edu/maps/, and directions to UTA are on that website.
Note that PKH is the triangular building in the central-campus region of the map. Select Pickard Hall from the building selector. PKH is next to the ``garage'' & is on Nedderman Dr between Planatarium Place (aka College St) & West St. West St is 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). 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.
Note that PKH 304 is on the 3rd floor of PKH; turn right out of elevator on 3rd floor.