# On Simons conjecture for knots

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Alan Reid, IAS and University of Texas at Austin
Fine Hall 322

Let $K$ be a non-trivial knot in $S3$. Simon's Conjecture asserts that $\pi_1(S3\setminus K)$ surjects only finitely many distinct knot groups. We discuss the proof of this for a class of small knots that includes 2-bridge knots.