**Special afternoon around the abc-conjecture**
On Friday November 26 DIAMANT organises a special afternoon around the

abc-conjecture. Invited speakers are

David Masser (Basel),

Joseph Oesterlé (Paris) and

Willem-Jan Palenstijn (Antwerp). The venue is

Het Bosgoed, Lunteren.

The abc conjecture has originally been formulated in the 1980s by David
Masser and Joseph Oesterlé, two of the three afternoon speakers. It has
a central role in modern number theory. Roughly the conjecture says
that when

*a, b* are coprime positive integers, and

*c=a+b*, then the product

*abc* cannot have, in some precise sense, only a few number of prime factors. The first talk is about the search for triples

*(a,b,c)* that challenge the abc-conjecture. The second talk discusses an analogue of the abc-conjecture in the polynomial ring over

**C**. The third talk discusses an analogue of the abc-conjecture in a function field in characteristic

*p*.

The programme is as follows:

13.30 - 14.20 Willem-Jan Palenstijn

* - Enumerating abc-triples*

14.30 - 15.30

* *Joseph Oesterlé

* - abc over ***C***[t]*

15.30 - 16.00 tea

16.00 - 17.00

* *David Masser

* - abcd... over ***F**_{p}*(t,u,...)*
*
*

Participation in this special afternoon is free, but

*registration is required*. If you are interested in participating, but do not want to register for the whole

DIAMANT symposium (November 25 and 26), please send an email to Robin de Jong (find address

here) before November 19.

### Mathematics cluster DIAMANT

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