BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Kâzım İlhan İkeda (Boğaziçi University & Feza Gürsey Center
  for Physics and Mathematics)
DTSTART:20260326T124000Z
DTEND:20260326T133000Z
DTSTAMP:20260414T103933Z
UID:METU_Math/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/6/
 ">A Statistical Approach to the Global Artin Reciprocity Map: An Unconditi
 onal Non-abelian Global Class Field Theory</a>\nby Kâzım İlhan İkeda (
 Boğaziçi University & Feza Gürsey Center for Physics and Mathematics) a
 s part of METU Mathematics General Seminar\n\nLecture held in Gündüz İk
 eda Seminar Room\, Mathematics Department.\n\nAbstract\nIn this talk\, bor
 rowing tools from statistics\, we shall first construct\, following T. Ono
 \, an unconditional non-Abelian generalization of the global Artin recipro
 city map for any finite Galois extension $\\mathbf{E}$ of a global field $
 \\mathbf{F}$. This theory has deep connections with the Langlands reciproc
 ity principle\, while the latter is still conjectural. In the second part 
 of the talk\, we plan to discuss some properties of the Ono reciprocity ma
 p for $\\mathbf{E}/\\mathbf{F}$\, and construct the (absolute) Ono recipro
 city map for $\\mathbf{F}^{sep}/\\mathbf{F}$. Finally\, we plan to give a 
 description of the maximal unramified extension of $\\mathbf{F}$ inside $\
 \mathbf{F}^{sep}$\, which is closely related with the Golod-Shafarevich Th
 eory. This is joint work with my PhD student Serkan Kızılavuz (Eskişehi
 r Technical University).\n
LOCATION:https://researchseminars.org/talk/METU_Math/6/
END:VEVENT
END:VCALENDAR