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 Fp(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

Upcoming events

Diamant symposium
29-11-2018 - 30-11-2018

News - more news

3 DIAMANT PhD positions awarded
19-12-2017

NWO, following a shortlist provided by the DIAMANT board, has decided to award 3 PhD positions to young DIAMANT members: Dion Gijswijt (TU Delft), Jan Steffen Müller (RUG) and Arno Kret (UvA).
Read more.



DIAMANT funding continued
19-12-2017

The funding of all four mathematics clusters has been continued by NWO. For the coming two years 85 kE will be available in each cluster.
Read more.



NWO Call for Tenure Track positions
22-7-2016

NWO has opened a call for tenure track positions. Proposals for these positions, which include one PhD position for each tenure track position, can be submitted directly to NWO by professors from the 4 mathematics clusters, including Diamant. Diamant professors are warmly encouraged to submit proposals. Read more.



Dion Gijswijt and Jordan Ellenberg independently substantially improve capset bound
25-5-2016

A capset in a finite dimensional vector space over the field with 3 elements is a subset that contains no 3-term arithmetic progressions. Dion Gijswijt (TU Delft) and Jordan Ellenberg have independently obtained a bound on the size of a capset that for the first time improves substantially on the trivial bound 3^n. Read more in Terence Tao's blog about these developments.