Dear Colleagues,

We would like to invite you to the following SPASS https://sites.google.com/unipi.it/spass seminar, jointly organized by UniPi, SNS, UniFi and UniSi:

*On the infinite dimension limit of invariant measures and solutions of Zeitlin's 2D Euler equations* by Milo Viviani (Centro de Giorgi, Scuola Normale Superiore di Pisa)

The seminar will take place in person on *TUE, 13.12.2022 at 14:00 CET* in Aula Seminari, Department of Mathematics, University of Pisa and streamed online here https://meet.google.com/gji-phwo-vbg.

The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass

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*Title: **On the infinite dimension limit of invariant measures and solutions of Zeitlin's 2D Euler equations*

*Abstract: **In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution of the Euler equations with marginals distributed as the enstrophy measure. The method relies on nontrivial computations on the structure constants of the Poisson algebra of functions on S², that appear to be new. Finally, we discuss the problem of extending our results to Gibbsian measures associated with higher Casimirs, via Zeitlin’s model.*