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/