Topological correlations in dense lattice trivial knots

speaker: Sergei Nechaev (Université de Paris-Sud)

abstract: We have investigated the topological correlations in closed unknotted loop (polymer chain) in a compact state using Jones invariants. We have shown that any subpart of a trivial knot is weakly entangled. All sub-parts of the chain try not to spread over the volume and stay segregated on all scales resembling the Peano curve embedded in 3D space. This structure explains many important questions existing over the years, concerning functioning and packing the DNA in a chromosome. For example, it elucidates the question concerning for copying the genetic information: how to allow DNA (which could reach the length of 2 m) to fold and unfold extremely rapidly in regions of sizes less than the cell nucleus.

timetable:
Thu 26 May, 16:45 - 17:15, Aula Dini
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