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An introduction to the Hanna Neumann Conjecture

4:00 pm Thursday, September 29, 2011
Igor Mineyev (UIUC - Math)

The Hanna Neumann Conjecture from 1956-1957 asserts a specific upper bound on the rank of the intersection of two finitely generated subgroups in a free group. Walter Neumann proposed a strengthened version of the Hanna Neumann Conjecture (SHNC) in 1989-1990. We will discuss several points of view of SHNC and sketch its proof in two languages: graph-theoretic and analytic.

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