Past Events

Talk Abstract The orthogonally projected shadows of a dispersed set in the plane carry much of the information about the shape of the set. The average size of the shadow, known as the Favard length, can be used to study density, structure...

In two independent papers, Aizenman and Fröhlich argued that every scaling limit of the critical Ising model in dimensions d > 4 is trivial (or Gaussian). This qualitative result can be reformulated as follows: the Schwinger functions of any...

Mathematical modeling, when combined with diverse epidemiological datasets, provides valuable insights for understanding and controlling infectious diseases. In this talk, I will present a series of case studies demonstrating how the synergy between...

This talk will discuss two inference problems in dynamical systems, both motivated by applications in mathematical biology. First, we will discuss the classical gene regulatory network inference problem for time-stamped single-cell datasets and...

Given a graph G, its genus distribution is the sequence whose k-th term is the number of 2-cell embeddings of G in the orientable surface of genus k. The Log-Concavity Genus Distribution (LCGD) Conjecture states that the genus distribution of every...

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...