14–16 Dec 2020
CERN
Europe/Zurich timezone

Learning to Unknot

16 Dec 2020, 18:30
30m
Virtual only (CERN)

Virtual only

CERN

Speaker

Sergei Gukov (California Institute of Technology)

Description

We will apply the tools of Natural Language Processing (NLP) to problems in low-dimensional topology, some of which have direct applications to the smooth 4-dimensional Poincare conjecture. We will tackle the UNKNOT decision problem and discuss how reinforcement learning (RL) can find sequences of Markov moves and braid relations that simplify knots and can identify unknots by explicitly giving the sequence of unknotting actions. Based on recent work with James Halverson, Fabian Ruehle, and Piotr Sulkowski.

Presentation materials