Department Mathematik
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Mathematisches Kolloquium


Am Montag, 27. Mai 2013, um 16:30 Uhr spricht

Prof. Dr. Ben Green
(University of Cambridge)

im Hörsaal A027
über das Thema

On the Sylvester-Gallai theorem

Zusammenfassung: The Sylvester-Gallai Theorem states that, given any set P of n points in the plane not all on one line, there is at least one line through precisely two points of P. Such a line is called an ordinary line. How many ordinary lines must there be? The Sylvester-Gallai Theorem says that there must be at least one but, in recent joint work with T. Tao, we have shown that there must be at least n/2 if n is even and at least 3n/4 - C if n is odd, provided that n is sufficiently large. These results are sharp. The talk will give an overview of this problem and the work towards its solution.
Alle Interessierten sind hiermit herzlich eingeladen. Eine halbe Stunde vor dem Vortrag gibt es Kaffee und Tee im Sozialraum (Raum 448) im 4. Stock.
Treffpunkt zum Abendessen um 18.00 Uhr wird noch bekannt gegeben.