Séminaires : Phd Seminar - Séminaire des doctorant.e.s

Equipe(s) : doctorants,
Responsables :Salim Alloun, Pedro Alves, Baptiste Dugué, Brian Flanagan, Ivory Fronteau, Kostyantyn Krutoy
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Description

Le séminaire des doctorant.e.s est l'occasion pour les doctorant.e.s de présenter des résultats et des problématiques dignes d'intérêt devant un public de non-spécialistes. L'ambiance y est informelle ; poser des questions naïves est encouragé, et les questions moins naïves sont bienvenues dans la mesure où elles n'entravent pas le bon déroulement de l'exposé.

Chaque jeudi à 18h, en alternance entre Jussieu et Sophie Germain.

The PhD seminar is an opportnuity for PhD students to present results and topics worthy of interest in front of a non-specialist audience. The mood is informal ; asking naive questions is highly encouraged and less naive questions are also welcomed, as long as they don't intefere with the smoothness of the talk.

Every Thursday at 6pm, alternating between Jussieu and Sophie Germain.

Orateur(s) Laura Marino - IMJ-PRG,
Titre KHOVANOV HOMOLOGY AND RATIONAL UNKNOTTING
Date24/03/2022
Horaire17:45 à 18:45
Diffusion
RésumeOne of the challenges of knot theory is to develop tools, such as link invariants, that allow us to classify and distinguish knots and links. Among the classical topological invariants the unknotting number is very well known, yet one of the hardest to compute. It is defined as the minimal number of crossing changes needed to turn a knot into the trivial knot. We will use Khovanov homology, a powerful combinatorial link invariant introduced around 2000, to define a new lower bound for the unknotting number. Along the way we will describe a special class of knots, those arising from rational tangles that are in one-to-one correspondence with rational numbers. This is based on joint work with Damian Iltgen and Lukas Lewark.
SalleTBA
AdresseCampus Pierre et Marie Curie
© IMJ-PRG