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Eva Viehmann will speak on

A Harder-Narasimhan stratification of the B_dR+-Grassmannian

We establish a Harder–Narasimhan formalism for modifications of G-bundles on the Fargues–Fontaine curve. The semi-stable stratum of the associated stratifica- tion of the B_dR+-Grassmannian coincides with the weakly admissible locus. When restricted to minuscule affine Schubert cells, it corresponds to a Harder–Narasimhan stratification of Dat, Orlik and Rapoport. I will also explain the relation to the Newton stratification as well as some geometric properties of the strata. This is joint work with K.H. Nguyen.