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比利时vs摩洛哥足彩 ,
university of california san diego

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combinatorics

josh cooper

ucsd

abstract line configurations and the milnor-thom theorem

abstract:

we discuss applications of the milnor-thom theorem, a result from algebraicgeometry concerning signs of polynomials, to the combinatorics of geometricconfigurations. in particular, we define an {it abstract lineconfiguration}, modelled on line configurations in $mathbb{r}^3$, and showthat there are many forbidden sub-configurations. we discuss theimplications for unavoidable "stacked" sets of lines via theerdh{o}s-hajnal conjecture, and pose several open questions. joint workwith uli wagner of eth z"{u}rich.

host:

october 22, 2002

4:00 pm

ap&m 7321

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