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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