İkeda Research Award goes to Kâzım Büyükboduk
Kâzım Büyükboduk from the Department of Mathematics at Koç University is rewarded to the Masatoshi Gündüz İkeda Research Award, held since 2002.
The ceremony will be on February 23, 2012 at 15:30 at Gündüz İkeda Seminar Room at the Department of Mathematics at METU. He will also talk on "Deformations of Kolyvagin systems". See the abstract below.
The purpose of the award is to evaluate the eminent research mathematical studies of scientists in Turkish Republic in order to announce these studies by approving them as being superior qualities and to encourage such kind of studies.
Kâzım Büyükboduk's Talk
Title: Deformations of Kolyvagin systems
Abstract: Mazur's theory of Galois deformations, inspired by Hida's earlier work on families of modular forms, has led to the resolution of many important problems in Number Theory: Wiles and Taylor/Wiles proved Taniyama-Shimura conjecture (to conclude with the proof of FLT), Buzzard/Taylor and Taylor used it to prove many cases of strong Artin conjecture as part of Langlands programme. In this talk, I will first give a general outline of Mazur's abstract theory and explain how it is used to attack concrete arithmetic problems. At the end, I will talk about a recent result that Kolyvagin systems (which Mazur and Rubin prove to exist for \(\mbox{mod}\ p\) Galois representations) do often deform to a big Kolyvagin system for the "Universal Galois deformation" representation. I will touch upon important applications of this result in arithmetic.