UTA Department of Mathematics

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

Date/Time/Room: Thursday (9/24/2009) at 5:30 pm in 304 Pickard Hall

Speaker: Dr. Aaron Lauve, Visiting Assistant Professor,
Department of Mathematics, Texas A&M University.

"Another Look at Markoff's Work on Quadratic Forms"

Abstract: During his study of binary quadratic forms   a x2 + b x y + c y 2   in the late 1800s, Markoff introduced necessary and sufficient conditions on a reduced form f so that its minimum is less than 3. He phrased his condition in terms of certain forbidden patterns of a bi-infinite word associated to f. From the Markoff condition one gets a large class of binary words that we call Markoff words. In this talk, we will see that the Markoff words are palindromes, and indeed are the important central words from the theory of Sturmian sequences. (This is joint work with Amy Glen and Franco Saliola.)

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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