Seminar Calendar
for events the day of Thursday, February 20, 2003.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, February 20, 2003

Number Theory Seminar
1:00 pm   in 241 Altgeld Hall,  Thursday, February 20, 2003
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Submitted by ford.
 Edward B. Burger (Williams College)On a question of Davenport OR A quantitative refinement of the Markoff Spectrum OR Diophantine approximation for the impatient Abstract: While some have the temperament to wait around for infinitely many solutions to certain diophantine inequalities, others are less patient and more demanding. Here we will begin with a brief overview to some fundamental issues from classical diophantine approximation and then turn our attention to a question of Davenport from 1947 that has only recently been completely answered.

Group Theory
1:00 pm   in 347 Altgeld Hall,  Thursday, February 20, 2003
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Submitted by robinson.
 Derek Robinson (UIUC Math)Finitely presented solvable groups IIIAbstract: Abstract: A survey of developments in the theory of f.p. soluble groups will be given, including constructible solvable groups, embedding in f.p. solvable groups (theorems of Kilsch and Baumslag), coherent solvable groups, the Bieri-Strebel geometric invariant, criteria for a f.g. solvable group to be f.p.

Group Theory Seminar
1:00 pm   in 343 Altgeld Hall,  Thursday, February 20, 2003
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Submitted by ivanov.
 Derek Robinson (Department of Mathematics, UIUC)Finitely Presented Solvable Groups (cont.)Abstract: A survey of developments in the theory of f.p. soluble groups will be given, including constructible solvable groups, embedding in f.p. solvable groups (theorems of Kilsch and Baumslag), coherent solvable groups, the Bieri-Strebel geometric invariant, criteria for a f.g. solvable group to be f.p.

Algebraic Number Theory Seminar
2:00 pm   in 241 Altgeld Hall,  Thursday, February 20, 2003
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Submitted by andreas.
 Bo-Hae Im   [email] (Department of Mathematics, Indiana University)The rank of elliptic curves over large fieldsAbstract: In this talk, we consider an elliptic curve E over a number field K and the Mordell-Weil group of E over the fixed fields under elements of the absolute Galois group G over K. First, we show that if all 2-torsion points of E are K-rational, then for every element f of G, the rank of E over the fixed field under f is infinite. And then we show that if K is totally imaginary and E has a K-rational point which is not 2-torsion, then we get the same result. We also show that the rank of E over the fixed field under any complex conjugate automorphism of G is infinite.

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, February 20, 2003
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Submitted by junge.
 Marius Junge (UIUC)A dominated convergence Theorem in noncommutative measure theoryAbstract: We discuss a version of the dominated convergence theorem in the contraxt of states on von Neumann algebras.

RAP on Lubin-Tate-Morava cohomology theories
2:00 pm   in 159 Altgeld Hall,  Thursday, February 20, 2003
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Submitted by rezk.
 Matthew Ando (UIUC)Complex cobordism and formal group laws

Mathematics Colloquium
4:00 pm   in 245 Altgeld Hall,  Thursday, February 20, 2003
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Submitted by seminar.
 Andreas Defant (Carl von Ossietzky University, Oldenburg, Germany)Bohr's power series theorem and local Banch space theoryAbstract: http://www.math.uiuc.edu/Colloquia/03SP/defant_feb20-03.pdf

Probability and Statistics Seminar
4:00 pm   in 2 Illini Hall,  Thursday, February 20, 2003
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Submitted by seminar.
 Michael Eichler (University of Chicago)Granger-causality and graphical time series modelsAbstract: Graphical models have become an important tool for analyzing multivariate data. While the theory originally has been developed for variables which are sampled with independent replications, graphical models recently have been applied also to stationary multivariate time series. We present a new class of graphs which visualize the dynamic relationships between the components of a multivariate stationary process. In these graphs, the vertices, which represent the components of the process, are connected by arrows if the corresponding components are Granger causal. Further the contemporaneous dependence structure is represented by undirected lines between the vertices. We further introduce a pathwise global causal Markov property for these graphs. This property allows to derive general noncausality relations for the process from the graphs. With this property the graphs are a suitable tool for the discussion of spurious causality and the identification of causal effects.