Title: Lineup polytopes and applications in quantum physicsSpeaker: Jean-Philippe Labbé Affiliation: Université du Québec Location: MC 5479 contact Olya Mandelshtam for Zoom link
Abstract: To put it simply, Pauli's exclusion principle is the reason why we can't walk through walls without getting hurt. Pauli won the Nobel Prize in Physics in 1945 for the formulation of this principle. A few years later, this principle received a geometrical formulation that is still overlooked today. This formulation uses the eigenvalues of certain matrices (which represent a system of elementary particles, for example electrons). These eigenvalues form a symmetric geometric object obtained by cutting a hypercube: it is a hypersimplex.