Seminar Calendar
for events the day of Friday, October 10, 2008.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, October 10, 2008

Women in Mathematics
12:00 pm   in 148 Henry,  Friday, October 10, 2008
 Del Edit Copy
Submitted by ctsai6.
 Lale Ozkahya (UIUC Math)Cycles in Hypercube Abstract: $Q_n$ denotes the n-dimensional hypercube, which is the graph on vertex-set $\{0,1\}^n$ and edge-set assigned between pairs differing in exactly one coordinate. Given graphs P and Q, the generalized Turan number ex(Q,P) denotes the maximum number of edges of a P-free subgraph of Q. Erd\"os (1984) conjectured that $ex(Q_n,C_4) = (1/2+o(1))e(Q_n)$, where $e(Q_n)$ is the number of edges in $Q_n$. We consider the case when P is a cycle of length 4k+2 for positive integer k and Q is $Q_n$. This is joint work with Zolt\'an F\"uredi.

Seminar on Sheaves of Dimension 1
4:00 pm   in 241 Altgeld Hall,  Friday, October 10, 2008
 Del Edit Copy
Submitted by sheshman.
 Artan Sheshmani (Department of Mathematics, University of Illinois)Pandharipande-Thomas theory of stable pairs in the derived category, Part 1Abstract: Let X be a nonsingular projective 3-fold, one can enumerate pairs (C,D) in which C is an embedded curve in X and D \subset C is a divisor. In this theory one views such pairs as complexes in the derived category of coherent sheaves over X and by constructing the associated moduli space of such pairs and virtual fundamental class one computes the invariants which conjecturally are equivalent to the Gromov-Witten and Donaldson_Thomas invariants after a universal transformation. In this talk I will give a brief review of PT theory.

Model Theory and Descriptive Set Theory
4:00 pm   in 347 Altgeld Hall,  Friday, October 10, 2008
 Del Edit Copy
Submitted by vlopes2.
 Isaac Goldbring (Department of Mathematics, University of Illinois)U-minimal valued fields are algebraically closed (cont.)Abstract: In this talk, I will prove one of the blackboxes from Tuesday's talk, namely that a u-minimal field is dense (with respect to the valuation topology) in its algebraic closure.