Analysis Seminar, 2025--2026

• October 6: Zhuang Niu (University of Wyoming) 14:30--16:30, CR 141
  Title: Norms on tensor products
  Abstract: Considering the (algebraic) tensor product of normed vector spaces, there are different ways to put a norm on the tensor product. I will talk on two distinguished norms, the projective norm and the injective norm, and then discuss their relations.
• September 22: Peter Burton (University of Wyoming) 14:30--16:30, CR 141
  Title: A gentle introduction to quantum information theory
  Abstract: We will present the basic mathematical formalisms used to study quantum information, such as tensor products and projection-valued measures.
• September 15: Zhuang Niu (University of Wyoming) 14:30--16:30, CR 141
  Title: Comparison radius functions
  Abstract: Comparison property of a C*-algebra roughly asks if the Cuntz (topological) subequivalence relation is determined by the ranks. This is obviously true for a matrix algebra as projections are unitarily equivalent if they have same rank. However, the comparison fails for a general C*-algebra, and the simplest example is a matrix algebra with entries being continuous functions on a compact metrizable space. To measure the failure of the comparison, the radius of comparison was studied in the last two decades. In the talk, let us introduce comparison radius function, which is a generalization of the radius of comparison. It is functorial, and can be used to classify Villadsen algebras, even with certain different seed spaces.
• September 2: Guillermo Rey (Universidad Autónoma de Madrid) 16:10--17:00, CR314
  Title: Cancellative sparse domination
  Abstract: We will give a short introduction to the technique of sparse domination of singular integrals, and discuss a recent improvement which preserves the cancellation structure. This is joint work with José Conde-Alonso and Emiel Lorist.