The activity in mathematical analysis is mainly focussed on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry are also developed.The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysis, mechanics of materials, micromagnetics, modelling of biological systems, and problems related to control theory.The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is organized in collaboration with MathLab for the study of problems coming from the real world, from industrial applications, and from complex systems.

## Analysis and Mathematical Physics Seminars

This is a series of Analysis and Mathematical Physics Seminars. Here you can find the complete list of seminars:

## Analysis and Mathematical Physics Seminars 2020-2021

Date | Time | Room | Speaker | Seminar |

November 17 | 15:00 | Zoom | Sijue Wu (University of Michigan) | The quartic integrability and long time existence of steep water waves in 2D |

December 15 | 15:00 | Zoom | Roberta Bianchini (IAC & CNR) | Some problems in the dynamics of stratified fluids |

January 12 | 15:00 | Zoom | Vesa Julin (University of Jyvaskyla) | Asymptotic behavior of the volume preserving mean curvature flow |

January 19 | 15:00 | Zoom | Alessia Nota (University of L'Aquila) | Long time asymptotics homoenergetic solutions Boltzmann equation |

February 2 | 15:00 | Zoom | Serena Cenatiempo (GSSI) | TBA |

February 9 | 15:00 | Zoom | Gabriele Benedetti (Heidelberg University) | Periodic and quasi-periodic motions for a charged particle in a strong magnetic field |

February 16 | 15:00 | Zoom | Giovanna Marcelli (SISSA) | TBA |

March 2 | 15:00 | Zoom | Marco Cicalese (TUM) | TBA |

March 9 | 15:00 | Zoom | Jacob Shapiro (Princeton University) | TBA |

March 16 | 15:00 | Zoom | Chiara Saffirio (University of Basel) | TBA |

## Mathematical Colloquia 2020-2021

Date | Speaker | Seminar |

October 20, 2020 | Luca Rizzi (CNRS) | Interpolation inequalities in sub-Riemannian geometry: an overview |