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Friday, November 21, 2008

Women in Mathematics
12:00 pm   in 148 Henry,  Friday, November 21, 2008
 Del Edit Copy
Submitted by ctsai6.
 Veena Paliwal (Department of Mathematics, University of Illinois)Moving boundary value problem with noiseAbstract: We will consider effect of noise on moving boundary value problem. In particular, we will look at heat equation with 2 parameter noise.

Model Theory and Descriptive Set Theory
4:00 pm   in 347 Altgeld Hall,  Friday, November 21, 2008
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Submitted by vlopes2.
 Alice Medvedev (UIC Math)Some tractable trivial minimal sets in ACFAAbstract: Let $(K, \sigma)$ be a model of ACFA of characteristic $0$, and let $f(x)$ be a polynomial over $K$. We completely describe the definable structure on the Lascar-rank $1$ set $f^\sharp$ defined by $\sigma(x)= f(x)$. Chatzidakis and Hrushovski proved the Zilber Trichotomy conjecture in ACFA, and characterized the functions that give fieldlike $f^\sharp$. Since all of these are isomorphic to the fixed field of $\sigma$, it is easy to see that the definable structure on them is terribly complicated. My thesis characterized the functions that give grouplike $f^\sharp$, and Chatzidakis, Hrushovski, and others showed that the corresponding groups are one-based. We now complete the picture by describing the quantifier-free definable relations on $f^\sharp$, which pins down the algebraic closure operator; the (lack of) quantifierfully definable relations on $f^\sharp$, which shows that most of them are strongly minimal; and the non-orthogonality relation between different such sets, which turns out to be occasionally definable and otherwise describable.