Analysis Seminar, 2024--2025

• September 9, 23: Peter Burton (University of Wyoming)
  Title: Furstenberg's ×2 ×3 conjecture and group theory
  Abstract: Furstenberg's ×2 ×3 conjecture is a well-known problem at the intersection of ergodic theory, topological dynamics and number theory. In this talk we will present the background needed to formulate the conjecture and describe various surrounding facts that illuminate its significance. We will also discuss ongoing work of the speaker and Kate Juschenko that connects this conjecture to a ridigity property for representations of a particular semidirect-product group.
• October 7, 21: Irina Holmes Fay (University of Wyoming)
  Title: About some weak-type inequalities for the dyadic square function operator
  Abstract: The weak-type inequality for the dyadic square function with an A2 weight is a longstanding open problem in modern harmonic analysis. I will discuss the resolution of two other weak-type inequalities for this square function operator, in the unweighted setting, using the Bellman function method. The first talk will introduce the dyadic setting and the dyadic square function operator, motivate the weighted problem, then discuss the unweighted L^2 case. The second talk will discuss the unweighted L^1 case, and discuss possible insights this can provide to the open problem of A2 weights.

TBA