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: Friday (10/9/2009) at 4:30 pm in 304 Pickard Hall

Speaker: Dr. Zachariah C. Teitler, Visiting Assistant Professor,
Department of Mathematics, Texas A&M University.

"Multiplier Ideals and an Application to Commutative Algebra"

Abstract: In 2001 Ein--Lazarsfeld--Smith proved the following result. Let Z be a set of points in the plane and m an integer. If a polynomial F vanishes at each point of Z to order at least 2m, then F is in the m'th power of the ideal of Z (it is a sum of products of m polynomials that each vanish on Z). This statement is appealingly classical-sounding, yet the only known proofs involve modern techniques such as multiplier ideals. I will introduce multiplier ideals and explain how they give the Ein--Lazarsfeld--Smith result. I will discuss some of the many open questions in this area, both about multiplier ideals and about efforts to improve the Ein--Lazarsfeld--Smith result.

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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