## Mathematical Analysis, Modelling, and Applications

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 analysismechanics of materialsmicromagneticsmodelling 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) Bogoliubov theory in the Gross-Pitaevskii regime 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) A new approach to transport coefficients in the quantum spin Hall effect March 2 15:00 Zoom Marco Cicalese (TUM) Does the N-clock model approximate the XY model? March 9 15:00 Zoom Jacob Shapiro (Princeton University) Strongly Disordered 2D Time-Reversal Invariant Topological Insulators March 16 15:00 Zoom Chiara Saffirio (University of Basel) Semiclassical limit from the Hartree-Fock equation to the Vlasov-Poisson system March 23 15:00 Zoom Jean-Marc Delort (Paris 13) On the stability of kink solutions of the $\Phi^4$ model in $1+1$ space time dimensions April 13 15:00 Zoom Luca Asselle Rigidity versus flexibility phenomena for periodic Hamiltonian flows April 27 14:00 Zoom Giuseppe Mussardo Generalised Riemann Hypothesis and Brownian motion May 11 11:30 Zoom Elefterios Soultanis p-Weak differentiable structures May 18 14:00 Zoom Chiara Rigoni Convergence of metric measure spaces satisfying the CD condition for negative values of the dimensional parameter June 8 11:30 Zoom Francesco Nobili (SISSA) p-Rigidity and almost rigidity of critical Sobolev embeddings on RCD spaces July 6 14:00 Zoom Paolo Antonini (Università del Salento) Infinite dimensional grassmannians, quantum states and optimal transport July 14 15:00 Zoom Jules Pitcho Almost everywhere non-uniqueness for integral curves of Sobolev vector fields

## Mathematical Colloquia 2020-2021

 Date Speaker Seminar October 20, 2020 Luca Rizzi (CNRS) Interpolation inequalities in sub-Riemannian geometry: an overview May 18, 2021 Neil O' Connell (University College, Dublin) Birational RSK, Whittaker functions and random polymers