Click on seminar heading to go to seminar page.
Bernd Sturmfels, University of California Berkeley
High school students learn how to express the solution of a quadratic equation in one unknown in terms of its three coefficients. This lecture asks the why question, and it offers an emphatic answer, by discussing the nature of mathematics and its non-linear models.
Bernd Sturmfels University of California, Berkeley
This lecture is an invitation to real algebraic geometry, along with computational aspects, ranging from bitangents and K3 surfaces to eigenvectors and ranks of tensors. We present an experimental study - with many pictures - of smooth curves of degree six in the real plane. The number 64 refers to rigid isotopy types in the Rokhlin-Nikulin classification.
Bernd Sturmfels University of California, Berkeley
Gaussoids offer a new link between combinatorics, statistics and algebraic geometry. Introduced by Lnenicka and Matus in 2007, their axioms describe conditional independence for Gaussian random variables. We explain this theory and how it relates to matroids. The role of the Grassmannian for matroids is now played by a projection of the Lagrangian Grassmannian. We discuss the classification and realizability of gaussoids, and we explore oriented gaussoids, valuated gaussoids, and the analogue to positroids.
Nordine Mir, Texas A&M-Qatar (note special day and time)
I will discuss recent joint results with B. Lamel regarding the convergence and divergence of formal holomorphic maps between real-analytic CR submanifolds in complex spaces of possibly different dimension. Our results resolve in particular a long standing open question in the subject and recover all known previous existing ones. We will also discuss the new approach developed in order to understand the convergence/divergence properties of such maps.
There are no conferences next week.