Department of Mathematics

Geometry and Topology

  •  Yury Belousov, Higher School of Economics (HSE)
  •  On the question of genericity of hyperbolic knots
  •  05/04/2021
  •  2:50 PM - 3:40 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Matthew Edward Hedden (

(based on a joint work with A. Malyutin) Thurston’s famous classification theorem, of 1978, states that a non-toric non-satellite knot is hyperbolic, that is, its complement admits a complete hyperbolic metric of finite volume. Until recently there was the conjecture (known as Adams conjecture) saying that the percentage of hyperbolic knots amongst all the prime knots of n or fewer crossings approaches 100 as n approaches infinity. In 2017 Malyutin showed that this statement contradicts several other plausible conjectures. Finally, in 2019 Adams conjecture was found to be false. In this talk we are going to discuss the key ingredients of its disproof



Department of Mathematics
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