Algebraic Statistics and Gibbs Manifolds

Explore the fascinating world of Gibbs manifolds in this one-hour conference talk from GSI. Delve into the mathematical concepts behind these images of affine spaces of symmetric matrices under the exponential map. Discover their applications in optimization, statistics, and quantum physics, and learn how they extend the role of toric geometry. Gain insights into the Gibbs variety, defined as the zero locus of all polynomials that vanish on the Gibbs manifold. Receive an introduction to these complex mathematical objects from the perspective of Algebraic Statistics, providing a solid foundation for further study in this intriguing field.