Lattice angles and quadratic forms (Lenny Fukshansky, CMC)
Estella 2099What are the possible angles between two integer vectors in R^n? If we fix one such possible angle and one integer vector x, is there always another integer vector y […]
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Algebra / Number Theory / Combinatorics Seminar
Localization techniques in equivariant cohomology (Reginald Anderson, CMC)
Estella 2113In order to understand a topological space X, it is often easier to understand X in terms of an action by a group G. When X is a compact complex […]
Biquandle module quiver representations (Sam Nelson, CMC)
Estella 2113Biquandle module enhancements are invariants of knots and links generalizing the classical Alexander module invariant. A quiver categorification of these invariants was introduced in 2020. In this work-in-progress (joint with […]
Presentations of derived categories (Reginald Anderson, CMC)
Estella 2099A modification of the cellular resolution of the diagonal given by Bayer-Popescu-Sturmfels gives a virtual resolution of the diagonal for smooth projective toric varieties and toric Deligne-Mumford stacks which are […]
Adinkras as Origami? (Edray Goins, Pomona College)
Estella 2113Around 20 years ago, physicists Michael Faux and Jim Gates invented Adinkras as a way to better understand Supersymmetry. These are bipartite graphs whose vertices represent bosons and fermions and […]
Counting matrix points via lattice zeta functions (Yifeng Huang, USC)
Estella 2113I will introduce two general problems and explain how they surprisingly connect with each other and with other aspects of mathematics (for a glimpse, Sato—Tate, hypergeometric functions, moduli spaces of […]
Making sandwiches: a novel invariant in D-module theory (David Lieberman, HMC)
Estella 2113In the field of commutative algebra, the principal object of study is (unsurprisingly) commutative algebras. A somewhat unintuitive fact is that results about commutative algebras can be gleaned from an […]
Sequences with identical autocorrelation spectra (Daniel Katz, Cal State Northridge)
Estella 2113In this talk, we explore sequences and their autocorrelation functions. Knowing the autocorrelation function of a sequence is equivalent to knowing the magnitude of its Fourier transform. Resolving the lack […]
Noether-Lefschetz theory and class groups (John Brevik, Cal State Long Beach)
Estella 2113The classical Noether-Lefschetz Theorem states that a suitably general algebraic surface S of degree d ≥ 4 in complex projective 3-space P3 contains no curves besides complete intersections, that is, […]
Traces of Partition Eisenstein series (Ken Ono, University of Virginia)
Estella 2113Integer partitions are ubiquitous in mathematics, arising in subjects as disparate as algebraic combinatorics, algebraic geometry, number theory, representation theory, to mathematics physics. Many of the deepest results on partitions […]