Raphael Clouatre, Department of Pure Mathematics, University of Waterloo
Mirror symmetry, as a duality from string physics, predicts A-model theories (Gromov-Witten invariants, Fukaya categories) on a Calabi-Yau manifold from the B-model theories (variations of Hodge structures, etc.) on its mirror manifold.
Feder and Vardi conjectured that a fixed-template constraint satisfaction problem CSP(D) is solvable by local consistency methods if and only if it cannot simulate linea
Free divisors are certain non-normal hypersurfaces in a complex manifold, whose singular loci have nice algebraic properties: the Jacobian ideals are Maximal Cohen Macaulay modules for the hypersurface rings.
Multiple zeta values are a family of real numbers defined by infinite series, generalizing the values of the ordinary Riemann zeta function at positive integers.
Invariant Theory is a beautiful field. The area dates back over 100 years to the work of Hilbert, Klein, Gauss, and many others. It is a very active area of research today, particularly from the view- point of algebraic geometry and combinatorics.
I will go through some more of Barto and Kozik’s consequences of absorption.