Moscow--Petersburg seminar on low-dimensional mathematics
SPb, PDMI, 07.12.2001, 16:00--17:45, room 311
"Could the Poincare Conjecture be false?"
A.B.Sossinsky (Independent University of Moscow)
In the first part of the talk, I will prove a theorem of
mine asserting that the Poincare Conjecture is false
provided that a certain problem in group theory is
algorithmically undecidable. In the second, after reviewing
some classical results on algorithmic undecidability in
group theory, I will speculate about the validity of the
hypothesis of my theorem and demonstrate some topological
constructions that may lead to other reductions related to
the invalidation of the conjecture.
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Seminar home-page http://www.pdmi.ras.ru/~duzhin/LDM/