Alternative Modular Compactifications of M_{g,n} via Cluster Algebras with Applications to the MMP of \overline{M}_{g,n}

This 21-minute lecture by Davide Gori from Universitá di Roma – La Sapienza explores "Alternative Modular Compactifications of M_{g,n} via Cluster Algebras with applications to the MMP of \overline{M}_{g,n}" as part of the "Combinatorial Synergies in Geometry and Number Theory" workshop organized by Instituto de Matemática Pura e Aplicada. Discover how combinatorial methods intersect with algebraic geometry through this presentation by a young researcher, which contributes to the broader workshop focus on enhancing combinatorial approaches in the study of geometric and arithmetic structures. The event features mini-courses and presentations by international mathematicians specializing in areas where combinatorics meets geometry and number theory.