Internal Seminar of CRM-CNRS

The CRM-CNRS is holding its internal seminar on Tuesday, June 17, 2025, in room 4336 (André Aisenstadt Pavilion, University of Montreal), from 9:30 AM to 1:00 PM.

Four scientific presentations will be given by:

  • Nicolas Crampé;
  • Claire Guerrier;
  • Ewen Gallic;
  • Thierry Daudé.

Program

9:30 AM: Nicolas Crampé

10:15 AM: Claire Guerrier

Following the maximum in the heat equation: signal propagation and myelin plasticity.

How do the characteristics of the myelin sheath influence the transmission of action potentials in myelinated axons, and vice versa? To answer this question, we develop a model of signal transmission in a myelinated axon, where myelinated compartments alternate with the nodes of Ranvier. By combining a computational approach with mathematical analysis, we seek an analytical solution corresponding to the propagation of the signal in a myelin compartment, and we study the signal transmission time as a function of different neuronal morphologies.

11:00 AM – 11:30 AM: Break

11:30 AM: Michèle Couderette

Can computer programming contribute to the emergence of algebra in secondary education?

Although computer science is not explicitly included in the mathematics curriculum in Quebec, some teachers integrate programming tasks into their teaching.

Based on a case study conducted in a secondary classroom in Quebec, this presentation discusses how a teacher attempts to articulate the Mathematical Work Space (Espace de Travail Mathématique, ETM) and the Algorithmic Work Space (Espace de Travail Algorithmique, ETA) to support the construction of initial forms of generalizations, the precursors to entering algebra.

12:15 PM: Pierre Baumann

Views on representations.

Representation theory studies the actions of groups on vector spaces, and more generally modules over rings. Initially conceived as a generalization to non-commutative groups of certain calculations in arithmetic, the theory developed throughout the 20th century along several axes: study of Lie groups, indecomposable modules, and representations of directed graphs, with an increasing reliance on the language and methods of algebraic topology and algebraic geometry.

In this talk, I will introduce the subject by recalling the structure of the solutions to the Schrödinger equation for the hydrogen atom, and then I will present the two topics to which I dedicated my time during my stay at the IRL.

Nicolas Crampé is a research director at CNRS assigned to CRM-CNRS.

Claire Guerrier is a research officer at CNRS assigned to CRM-CNRS.

Hosted on delegation by CNRS for a long-term stay at CRM-CNRS, Michèle Couderette is a lecturer at Université Paris-Est Créteil.

Pierre Baumann is a research officer at CNRS assigned to CRM-CNRS.