Past Events

We will discuss extensions of random transpositions to other conjugacy classes. Our main probabilistic result is the total variation cutoff profile for these random walks, under a mild assumption on the number of fixed points. The proof is based on a...

In this talk, I will explain the concepts of limits and colimits in the context of infinity categories. As a warm-up, I will start by recalling these notions in the setting of ordinary categories. I will also compare these concepts with homotopy (co...

The values of Dirichlet L-functions at s=1 have long attracted considerable attention due to their deep algebraic and geometric significance. In contrast, the logarithmic derivatives of Dirichlet L-functions at s=1, which play a key role in the study...

Understanding the dynamics of cancer cell migration is crucial for developing effective treatment strategies. The "go-or-grow" hypothesis posits a trade-off between proliferation and migration in cancerous cells. In this talk, we present a...

In 1966, Tate proposed the Artin-Tate conjectures, which expresses special values of zeta function associated to surfaces over finite fields. Conditional on the Tate conjecture, Milne–Ramachandran formulated and proved similar conjectures for smooth...

In this talk, we will discuss several inequalities in convex geometry inspired by sumset estimates in additive combinatorics and inequalities in information theory. We begin by investigating sharp constants in convex geometry analogues of Plünnecke...

Christos Thrampoulidis, the 2024 PIMS/UBC Early Career Award Winner, will present a talk. Abstract Deep learning models are often seen as black boxes, their complexity stemming from integrating numerous architectural components across multiple layers...

Blood is a crucial life-saving product in healthcare systems. Red blood cells are perishable, and managing these stocks in British Columbia and other regions of Canada, with remote / rural hospitals is challenging. Demand must be satisfied without...

Long DNA and RNA molecules encode the genetic code of viruses and living organisms. We study the changes in DNA topology mediated by essential processes such as DNA packing and transcription of DNA into RNA. These processes are highly regulated, and...

Despite extensive research, it is not known whether Oort's conjecture about the existence of supersingular curves is true or false. In the first part of the talk, I will describe supersingular curves and discuss the status of Oort's conjecture (both...