## Geometry and Mathematical Physics

∙ Integrable systems in relation with differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds • Deformation theory, moduli spaces of sheaves and of curves, in relation with supersymmetric gauge theories, strings, Gromov-Witten invariants, orbifolds and automorphisms
• Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics
• Mathematical methods of quantum mechanics
• Mathematical aspects of quantum Field Theory and String  Theory
• Symplectic geometry, sub-riemannian geometry
• Geometry of quantum fields and strings

## 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

## Cossa xe...? seminar

The "Cossa xe...? Seminar" is a (bi)weekley online seminar that will be held on Fridays at 11:00 am via Zoom.The goal of the seminar is to be a channel of communication where we all learn some cool math and more about each other's research interests. Each talk will be 40 minutes long. The speaker will present a mathematical object/result and provide the audience with some intuition and motivation for its study. The speaker is encouraged to keep in mind that the audience's interests need not lie within the speaker's own research interest.The name of the seminar is a Triestin translation of "What is...?", which is the name of a well-known column in the Notices of the Amer. Math. Soc. that consists of brief, well-written and nontechnical articles aimed for grad students; see here for a collection.The upcoming schedule for 2021 is as follows:

• June 18th, 2021. 11:00 am:

Title:"Cossa xe...a Hopf-Galois extension?"

Speaker: Daan van de Weem

Abstract:

• June 25th, 2021. 11:00 am:

Title:"Cossa xe...?"

Abstract:

• July 2nd, 2021. 11:00 am:

Title:"Cossa xe...?"

Speaker: Dr. Giulia Gugiatti

Abstract:

• July 9th, 2021. 11:00 am:

Title:"Cossa xe...?"

Speaker: Maria Strazzullo

Abstract:

## Mathematical Physics seminar

 Date Time Room Speaker Seminar December 03 16:00 Zoom Alexander Tovbis (University of Central Florida) Soliton and breather gases for integrable equations April 15 16:00 Zoom Harini Desiraju (Birmingham) Isomonodromic tau-functions on a torus as Fredholm determinants, and charged partitions May 05 11:00 Zoom Alexander Alexandrov (IBS Center for Geometry and Physics, Korea) KP integrability of triple Hodge integrals May 12 11:00 Zoom Paul Norbury (Melbourne) A new cohomology class on the moduli space of curves May 19 16:00 Zoom Gennady El (University of Northumbria, UK) Riemann problem for the Benjamin-Bona-Mahony equation May 27 11:00 Zoom Youjin Zhang (Tsinghua University) Virasoro constraints for Drinfeld-Sokolov hierarchies and equations of Painlevé type