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

Date/Time/Room: Friday (1/29/2010) at 4:30 pm in 304 Pickard Hall

Speaker: Jun Zhang,
Department of Mathematics, UT Arlington.

"Artin-Schelter Regular Algebras I"

Abstract: This is part I of a two-part talk. The concept of an Artin-Schelter regular algebra (AS-regular algebra) will be introduced. We will describe the classification of the AS-regular algebras of global dimension three, and give some of the results on AS-regular algebras of global dimension four. We will then focus on a subclass S of AS-regular algebras of global dimension four. Our approach to the classification of the algebras in S is to study them together with their koszul dual. After giving some properties of the koszul duals, we will consider two matrix invariants of the dual algebras and give some new results based on these invariants.

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). 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.

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