Week of Events
Transfinite $\zeta$-metrics (Zair Ibragimov, CMC)
Transfinite $\zeta$-metrics (Zair Ibragimov, CMC)
I will discuss the concept of transfinite ζ-metrics. In some details I will discuss transfinite Apollonian metric in the settings of semi-metric spaces. I will discuss specific examples of domains where the transfinite Apollonian metric can be computed explicitly. This is a preliminary work.
The Bateman—Horn conjecture II: applications (Stephan Garcia, Pomona)
The Bateman—Horn conjecture II: applications (Stephan Garcia, Pomona)
We begin with a review of the Bateman—Horn conjecture, which sheds light on the intimate relationship between polynomials and prime numbers. In this expository talk, we survey a host of applications of the conjecture. For example, Landau’s conjecture, the twin prime conjecture, and the Green—Tao theorem are all consequences of the Bateman—Horn conjecture. Moreover, the […]
Defining Ada: On The Legacy of Augusta Ada Byron King Lovelace (Gizem Karaali, Pomona College)
Defining Ada: On The Legacy of Augusta Ada Byron King Lovelace (Gizem Karaali, Pomona College)
Abstract: Augusta Ada, Countess of Lovelace, is today viewed as the rst person to recognize the power of algorithmic machines and a pioneer in computer programming. Her biographers have often disagreed on her mathematical talents, her mathematical contributions, and her legacy. In this talk I explore the various approaches taken towards her, focusing explicitly on […]