This Special Session will bring together researchers working on specific objects or families of objects in commutative algebra and algebraic geometry and those working on combinatorial or computational methods frequently used to study them, in order to encourage cross-fertilization and collaboration. The successful application of combinatorial and computational methods in several different areas of commutative algebra and algebraic geometry unifies topics as diverse as secant varieties, flag varieties, toric varieties, hyperplane arrangements, monomial and binomial ideals, determinantal ideals, and syzygies. The methods used -- Gr\"obner bases, numerical algebraic geometry, statistics, simplicial complexes, and more -- have been applied in areas besides that in which they arose. New applications to tensor eigenvalues and tensor decompositions demonstrate the evolution of these ideas.
| Day | Time | Speaker | Title (see AMS web page for abstracts) | Slides |
|---|---|---|---|---|
| Sat., Apr. 9 | 8:00 am | Solomon Akesseh | Ideal Containments under Flat Extensions | |
| Sat., Apr. 9 | 8:30 am | Dominic Searles | Schubert polynomials and slide polynomials | |
| Sat., Apr. 9 | 9:00 am | Kaisa Taipale | Quantum equivariant cohomology of Grassmannians via cyclic factorial Schur functions | |
| Sat., Apr. 9 | 9:30 am | Martha Precup | Generalized Kostant Polynomials | |
| Sat., Apr. 9 | 10:00 am | Robert L Williams | Galois Groups of Schubert Problems via Symbolic Computation | |
| Sat., Apr. 9 | 10:30 am | Dan Bates | Choosing a good path for homotopy continuation | |
| Sat., Apr. 9 | 3:00 pm | Alexandra Seceleanu | The Waldschmidt constant for squarefree monomial ideals | |
| Sat., Apr. 9 | 3:30 pm | Elina Robeva | Positive Semidefinite Rank and Nested Spectrahedra | |
| Sat., Apr. 9 | 4:00 pm | Anna L Seigal | Singular Vectors of Tensors | |
| Sat., Apr. 9 | 4:30 pm | Ashley K. Wheeler | Principal Minor Ideals with Matroid Theory | |
| Sat., Apr. 9 | 5:00 pm | Andrew Berget | The internal zonotopal algebra of the dual type B reflection arrangement | |
| Sun., Apr. 10 | 8:00 am | Edward Richmond | Staircase diagrams and the enumeration of smooth Schubert varieties | |
| Sun., Apr. 10 | 8:30 am | Laura Escobar | Toric matrix Schubert varieties | |
| Sun., Apr. 10 | 9:00 am | Oliver Pechenik | Puzzles and equivariant $K$-theory of Grassmannians | |
| Sun., Apr. 10 | 9:30 am | Brendan Pawlowski | Transitions for involution Schubert polynomials | |
| Sun., Apr. 10 | 10:00 am | Benjamin J. Wyser | Mars-Springer subvarieties of symmetric orbit closures and interval pattern combinatorics | |
| Sun., Apr. 10 | 10:30 am | Peter E Trapa | The Lusztig-Vogan bijection | |
| Sun., Apr. 10 | 2:00 pm | Stefan O Tohaneanu | The set-theoretic complete intersection property of some subspace arrangements | |
| Sun., Apr. 10 | 2:30 pm | Joe Kileel | The Chow Form of the Essential Variety in Computer Vision | |
| Sun., Apr. 10 | 3:00 pm | Federico Castillo | The multidegree polytope of an irreducible subvariety of product of projective spaces | |
| Sun., Apr. 10 | 3:30 pm | Yuan Wang | On uniruledness of hypersurfaces | |
| Sun., Apr. 10 | 4:00 pm | Honglu Fan | Chern classes and Gromov-Witten invariants of projective bundles |