Seminar za teoriju brojeva i algebru
U srijedu 7.6.2017. s početkom u 11:00 u predavaonici br. 104,
Volker Ziegler (University of Salzburg)
održat će predavanje pod naslovom
"There are no Diophantine quintuples".
Abstract:
A m-tuple of distinct positive integers (a_1,…,a_m)
is called a Diophantine m-tuple if a_ia_j+1 is a perfect square
for all i < j. It was a long outstanding question whether a
Diophantine quintuple exists. In a recent paper joint with Bo He and
Alain Togbe we proved that none exists. After a short
introduction to the problem we present the new ideas that led to the
proof of the so-called Diophantine quintuple conjecture.
Pozivaju se članovi Seminara i svi zainteresirani da prisustvuju predavanju.
Voditelji seminara:
Andrej Dujella
Ivica Gusić