The logarithmic Brunn-Minkowski conjecture is a fascinating open problem on the borderline of convex geometry, differential geometry and non-linear PDE's. It is asking about a strengthening of the Brunn-Minkowski inequality on the class of symmetric convex bodies. The question is closely related to several open problems in geometry and probability.

The aim of this workshop is to discuss and make progress on open problems related to properties and applications of asymptotic tensor parameters.

Jointly organized with the RTG Berlin-Hannover "From geometry to numbers: Moduli, Hodge theory, rational points" financed by the DFG. Part of the thematic semester Algebraic Geometry (August-December 2026) hosted by the Erdős Center.

The Workshop will highlight the enumerative and birational geometry of the moduli spaces of curves, abelian varieties and K3 surfaces, etc.

The 4 lecture series of the School will focus on modern techniques in the classification theory of higher dimensional algebraic varieties, highlighting connections to K-stability and singularity theory. Part of the thematic semester Algebraic Geometry (August-December 2026) hosted by the Erdős Center.

The Workshop will focus on modern techniques in the classification theory of higher dimensional algebraic varieties, highlighting connections to K-stability and singularity theory. Part of the thematic semester Algebraic Geometry (August-December 2026) hosted by the Erdős Center.

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