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

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.

Mark N >= 2 points on both the top and bottom circles of a vertical cylinder. Call a N-diagram any non-intersecting pattern of links between these 2N marked points. Then one can define by concatenation a multiplication on the set of formal linear combinations of N-diagrams. The resulting algebra aTLN is called the affine Temperley-Lieb algebra and is of fundamental importance in modern representation theory and statiscal mechanics. In this talk, we will uncover the "structure" of a physically signifiant family of representations of aTLN (the so-called XXZ periodic spin chains) and draw plenty of beautiful lines on cylinders. We will see that our result allows us to extend famous mathematical results (such as the quantum Schur-Weyl duality) and hints the asymptotic behavior of statistical models on lattices.