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SUMMARY:On Shinichi Mochizuki's IUT theory (a colloquium style talk) - Iva
 n Fesenko (Nottingham)
DTSTART:20170123T150000Z
DTEND:20170123T163000Z
UID:TALK68715@talks.cam.ac.uk
CONTACT:Caucher Birkar
DESCRIPTION:*This is a colloquium style talk intended for a general audien
 ce (including students). The speaker has previously co-organised several e
 vents on the topic (see his website).*\n\nAbstract: As a theory and progra
 mme\, IUT is as important as other main directions in number theory. Unlik
 e the latter\, IUT already contains the proof of its main theorems. IUT in
 cludes 20 new concepts\, many of which are of interest on their own.\nAppl
 ications of IUT ​offer​\n proofs of​ the​\n​celebrated​\n conj
 ectures​\, and more conjectures are to be proved. ​\nIUT's viewpoints 
 drastically extend the range of methods in modern number theory.  \nIUT ad
 dresses such fundamental aspects as to which extent the multiplication and
  add​i​ti​on​\ncannot be separated from one another.​ \nT​he r
 igidity aspects of number fields and hyperbolic considerations​ play a m
 ajor role.\n ​\nI will discuss some of these aspects. 
LOCATION:CMS MR2
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