Singular Matroid Realization Spaces

This conference talk explores Singular Matroid Realization Spaces presented by Dante Luber from the University of Frankfurt as part of the "Combinatorial Synergies in Geometry and Number Theory" workshop organized by the Instituto de Matemática Pura e Aplicada (IMPA). Delve into the intersection of combinatorial methods with algebraic geometry and number theory, examining how these approaches enhance the study of geometric and arithmetic structures. The workshop features mini-courses by experts Kris Shaw and Farbod Shokrieh, along with presentations from renowned mathematicians including Frederico Ardila, Carolina Benedetti, and others exploring topics such as matroids, tropical geometry, and polynomial equations. This 18-minute presentation is part of a broader event bringing together both early-career mathematicians and specialists to foster collaboration and innovation in these interconnected mathematical fields.