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Probability Techniques in Analysis and Approximation Theory

25-30 November 2024
Saint-Petersburg University
Europe/Moscow timezone

The length conjecture for hyperbolic knot complements

30 Nov 2024, 14:40
35m
Saint-Petersburg University

Saint-Petersburg University

Department of Mathematics and Computer Sciences, Saint-Petersburg University, Saint Petersburg, 14 line V.O., 29B Yandex maps link: https://yandex.ru/maps/-/CDw2mFl9 Google maps link: https://maps.app.goo.gl/L1Nrzf81wahREKop6 ZOOM streaming at: https://us02web.zoom.us/j/675315555

Speaker

Mauricio Romo (Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) and Fudan University)

Description

I will explain a conjecture that relates the asymptotics of the colored Jones polynomials for links with the geodesic length of certain loops inside hyperbolic knot complements. If time allows I will give a physics motivation for this conjecture based on SL(2,C) Chern-Simons theory.

Primary author

Mauricio Romo (Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) and Fudan University)

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