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BEGIN:VEVENT
DTSTART:20190927T210000Z
UID:142782@events.unl.edu
DTSTAMP:20190825T124907Z
ORGANIZER;CN=Brian Harbourne:MAILTO:bharbourne1@unl.edu
SUMMARY:Tomasz Szemberg\, Pedagogical University of Cracow
DESCRIPTION:The topic of arrangements of lines and points is a long studied
one\, going back at least to the times of Pappus in antiquity. A question
known as the Orchard Problem posed at the beginning of the 19th century c
oncerns existence of certain arrangements with prescribed incidences relat
ing the lines and points. It has prompted a lot of research in combinatori
cs\, algebra and geometry. After discussing the original problem and its s
olutions in detail\, I will pass to some variations involving colored poin
ts and lines and generalizations to fields of definition other than the re
al numbers. Szemberg will also explain how combinatorial extremality for l
ine arrangements comes up in very recent problems in commutative algebra a
nd algebraic geometry.
LOCATION:Avery Hall Room 115
URL://events.unl.edu/math/2019/09/27/142782/
DTEND:20190927T215000Z
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