Topic: dynamics

Study character varieties through theoretical and experimental methods at the intersection of low-dimensional topology, geometry, dynamics and algebraic geometry. The OURAGAN team at IMJ-PRG seeks a postdoctoral researcher working with Antonin Guilloux. Responsibilities include developing computational tools and participating in the team’s scientific activities. Applicants need doctoral-level mathematical research skills, knowledge of the relevant literature, SageMath or Maple, and fluent English. Appointment: 6 months; advertised start 2027-02-01.

This talk will focus on different aspects of the Local Field Potential (LFP) signal. Classically, LFP fluctuations are related to changes in the functional state of the cortex. Yet, the mechanisms linking LFP changes with the state of the cortex are not well understood. The presentation will start with a brief explanation of the main oscillatory components of the LFP signal, how these different oscillatory components are generated at cortical microcircuits, and how their dynamics can be studied across multiple areas. Thereafter, a case study of a patient with akinetic mutism will be presented,

The remarkable properties of information-processing of biological and of artificial neuronal networks alike arise from the interaction of large numbers of neurons. A central quest is thus to characterize their collective states. The directed coupling between pairs of neurons and their continuous dissipation of energy, moreover, cause dynamics of neuronal networks outside thermodynamic equilibrium. Tools from non-equilibrium statistical mechanics and field theory are thus instrumental to obtain a quantitative understanding. We here present progress with this recent approach [1]. On the experime