About the speaker:
Lara Bossinger is a tenured full professor at the Instituto de Matemáticas (Unidad Oaxaca), UNAM, Mexico. She received her PhD in Mathematics from the University of Cologne in 2018, under the supervision of Peter Littelmann. Before joining UNAM, she held postdoctoral positions at the Max Planck Institute for Mathematics in the Sciences in Leipzig, working with Bernd Sturmfels, and at UNAM Oaxaca, working with Alfredo Nájera Chávez. Her research lies at the intersection of algebraic geometry and discrete mathematics, focusing on varieties with rich combinatorial structure, such as toric varieties or varieties admitting toric degenerations. She studies the construction and comparison of toric degenerations using tools from algebraic combinatorics, cluster algebras, Gröbner theory, tropical geometry, and representation theory. Her work also explores applications of these ideas to mathematical physics, including mirror symmetry and scattering amplitudes.
Abstract:
Chord diagrams are combinatorial objects that generalize triangulations of a polygon. They depend on two parameters: an integer n and a degree d less of equal to n. Given n and d the set of all chord diagams has the structure of a (polytopal) simplicial complex. The associated polytope include for d=1 the hypercube, d=n the associahedron and d=2 the pellytope. In this talk I will present the combinatorics of chord diagrams and how the induce a family of binary geometries. This is based on work in progress with Ömer Gürdogan (University of Southampton).
The UNIVERSE+ Online Seminar Series is designed to foster dialogue and collaboration among project partners and those interested in positive geometry.
You are welcome to register here.
