by hderksen | Sep 11, 2022 | GASC Seminar
Abstract: Every finite-type graded algebra defines a complex of finitely generated, graded modules over a symmetric algebra, whose homology modules are called the Koszul modules of the given algebra. Particularly interesting in a variety of contexts is the geometry of...
by hderksen | Jan 10, 2022 | GASC Seminar
Abstract: When we consider the linear action of a finite group on a polynomial ring, an invariant is a polynomial unchanged by the action. Noether’s Degree Bound states that in characteristic zero the maximal degree of a minimal generating invariant polynomial is...
by hderksen | Jan 9, 2022 | GASC Seminar
Abstract: In 1978, Stanley constructs an example of an Artinian Gorenstein (AG) ring A with non-unimodal H-vector (1, 13, 12, 13, 1). Migliore-Zanello showed that for regularity r = 4, Stanley’s example has the smallest possible codimension c for an AG ring with...
by hderksen | Nov 21, 2021 | GASC Seminar
Abstract: The Hodge-Riemann relations (HRR) for graded Artinian Gorenstein (AG) algebras are an algebraic analogue of a certain property of the cohomology ring of a smooth complex projective algebraic variety which strengthen the strong Lefschetz property (SLP). In...
by hderksen | Nov 7, 2021 | GASC Seminar
Abstract: In this talk we introduce a geometrical model of continued fractions and discuss its appearance in rather distance research areas: Values of quadratic forms (Perron Identity for Markov spectrum). The 2nd Kepler law on planetary motion. Global relation on...
by hderksen | Oct 17, 2021 | GASC Seminar
Abstract: It is a major open problem in quantum information to determine which quantum computations can be efficiently simulated by classical computers. The so-called stabilizer rank is a useful barometer for the classical simulation cost of quantum computations. In...
