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SUMMARY:A Counterexample to the Jacobian Conjecture in Dimension Three
DTSTART:20261104T104500Z
DTEND:20261104T114500Z
DTSTAMP:20261029T214500Z
UID:indico-event-17628@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Thomas Mordant (Institut de Mathématiques d'Orsay)\
 n\nSeed Seminar of Mathematics and Physics\nAI and the Future of Mathemati
 cs and Physics \nThe Jacobian conjecture states that for any polynomial m
 ap from  to itself\, if it is everywhere a local diffeomorphism\, then it
  admits a polynomial global inverse. In this talk\, I will present the thr
 ee-dimensional counterexample to this conjecture posted by L. Alpöge on 
  and credited to Claude. \nAfter stating the conjecture and the countere
 xample\, I will explain the geometric interpretation of the counterexample
  which was posted by A. Jiang and credited to ChatGPT. Finally I will give
  some observations about the history of the conjecture and its significanc
 e.\nWe answer this problem coming from representation theory using topolog
 ical tools. On the representation theory side we define extensions of Habi
 ro type rings. On the topological side\, we construct a universal Jones li
 nk invariant and a universal Alexander link invariant. Putting these toget
 her\, our universal invariants of geometrical nature take values in the ex
 tended Habiro rings that we construct.\nMore information: https://seedsem
 inar.pages.math.cnrs.fr/program/#november-4-2026\n========\nPour être inf
 ormé des prochains séminaires vous pouvez vous abonner à la liste de di
 ffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet
 : "subscribe seminaire_mathematique PRENOM NOM" (indiquez vos propres pré
 nom et nom) et laissez le corps du message vide.\n \n\nhttps://indico.mat
 h.cnrs.fr/event/17628/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/17628/
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