Pablo Castilla -- Qualifying Exam
Qualifying Exam
Speaker: Pablo Castilla, University of Kentucky
Title: TBA
Abstract:
Qualifying Exam
Speaker: Pablo Castilla, University of Kentucky
Title: TBA
Abstract:
Qualifying Exam
Speaker: Pablo Castilla, University of Kentucky
Title: TBA
Abstract:
Title: Quiver representations and syzygies of Gorenstein algebras
Title: Quiver representations and syzygies of Gorenstein algebras
Qualifying Exam
Speaker: Emma Pickard, University of Kentucky
Title: Degeneracy loci and permutation groups
Abstract:
Any permutation sigma in S_n determines n^2 rank conditions on any n by n matrix. In doing so, sigma determines a degeneracy locus for a flagged vector bundle on a variety by imposing rank conditions on each fiber. The dimension of such loci and values of the rank can be obtained from diagrams constructed based on only the permutation itself. We will begin exploring these diagrams and loci with our standard symmetric group, and then move to explore other types of permutation groups and their corresponding diagrams. This work is based primarily on the work of William Fulton and David Anderson.
Qualifying Exam
Speaker: Emma Pickard, University of Kentucky
Title: Degeneracy loci and permutation groups
Abstract:
Any permutation sigma in S_n determines n^2 rank conditions on any n by n matrix. In doing so, sigma determines a degeneracy locus for a flagged vector bundle on a variety by imposing rank conditions on each fiber. The dimension of such loci and values of the rank can be obtained from diagrams constructed based on only the permutation itself. We will begin exploring these diagrams and loci with our standard symmetric group, and then move to explore other types of permutation groups and their corresponding diagrams. This work is based primarily on the work of William Fulton and David Anderson.
Qualifying Exam
Speaker: Emma Pickard, University of Kentucky
Title: Degeneracy loci and permutation groups
Abstract:
Any permutation sigma in S_n determines n^2 rank conditions on any n by n matrix. In doing so, sigma determines a degeneracy locus for a flagged vector bundle on a variety by imposing rank conditions on each fiber. The dimension of such loci and values of the rank can be obtained from diagrams constructed based on only the permutation itself. We will begin exploring these diagrams and loci with our standard symmetric group, and then move to explore other types of permutation groups and their corresponding diagrams. This work is based primarily on the work of William Fulton and David Anderson.
Qualifying Exam
Speaker: Emma Pickard, University of Kentucky
Title: Degeneracy loci and permutation groups
Abstract:
Any permutation sigma in S_n determines n^2 rank conditions on any n by n matrix. In doing so, sigma determines a degeneracy locus for a flagged vector bundle on a variety by imposing rank conditions on each fiber. The dimension of such loci and values of the rank can be obtained from diagrams constructed based on only the permutation itself. We will begin exploring these diagrams and loci with our standard symmetric group, and then move to explore other types of permutation groups and their corresponding diagrams. This work is based primarily on the work of William Fulton and David Anderson.