$University of Colorado Boulder$

Search

Algebraic Geometry DeLong Diversity Functional Analysis Geometry/Analysis Grad Algebra Seminar Kempner Lie Theory Logic MathClub Math Phys Noncomm Geometry Number Theory Probability Rep Theory Grad Student Seminar Thesis Defenses Topology Ulam Math Edu

Events for the weeks of December 4th – 16th

Print these events

Tue, Dec. 6 1:25pm (Zoom)	Grad Algebra Seminar Alex Kruckman (Wesleyan University) X Since the birth of modern model theory in the work of Morley and Shelah, notions of independence have been an important tool for studying complete first-order theories. Assumptions on the complexity of the theory often imply, and can in fact be characterized by, useful properties of these independence relations. For example, forking independence is a generalization of linear independence in vector spaces, which is defined in arbitrary theories; but a theory T is stable if and only if forking independence is stationary, and T is simple if and only if forking independence is symmetric. In this talk, I will describe a duality between certain notions of independence and certain ideals in the Boolean algebra of formulas, and I will show how constructions with ideals can be used to produce new notions of independence. As an application, I will prove a type amalgamation result that holds (surprisingly, at least to me) in arbitrary first-order theories. Ideallic independence relations
Thu, Dec. 8 2:30pm (MATH 3…	Functional Analysis Judith Packer (University of Colorado Boulder) X Let $𝕃$ be a length function on a discrete abelian group $Γ .$ Let $σ$ be a multiplier on $Γ$ (two cocycle taking values in $𝕋 .$ Rieffel and collaborators, following work of Connes, have used $𝕃$ to construct a ``Dirac" operator on $ℓ2(Γ),$ giving spectral triples with for the twisted group $C$ -algebra $C(Γ,σ),$ mostly when $Γ$ is finitely generated Following Rieffel's work and recent work of Long and Wu, we construct odd spectral triples for noncommutative solenoids $C( Z[1/p]× Z[1/p],σ)$ first studied by the author and Latremoliere. The Dirac operator involved can be used to construct a metric on the state space of the twisted group $C$ -algebra, which induces a topology coinciding with the weak- $*$ topology. This talk is based on joint work with C. Farsi, T. Landry and N. Larsen. Spectral triples for noncommutative solenoids
Tue, Dec. 13 1:25pm (Zoom)	Logic Freese, McKenzie, McNulty, Taylor X Volume I of Algebras, Lattices, Varieties appeared in 1987. Volumes II and III have just now appeared. We will touch on what's in the them and what went into writing them, including some of the history of both the volumes and the field. Algebras, Lattices, Varieties Vol 1-N (ALVIN)