Past Events

Consider the vector space (parameter space) of all homogeneous forms of degree $d$ in $n+1$ variables defined over some field $K$. Geometrically, the vanishing set of such a form corresponds to a hypersurface of degree $d$ in the projective space $P^...

Carl Jacobi worked in the 1830s at the University of Königsberg on what became known as Hamilton-Jacobi theory, and also on the theory of the second variation in the calculus of variations. The first was a subject in dynamical analysis, while the...

Zero forcing is a type of graph propagation based on the color-change rule: Given graph $G$, if each vertex of $G$ is colored either white or blue, and vertex $v$ is a blue vertex with only one white neighbor $w$, then change the color of $w$ to blue...

A Beurling number system consists a non-decreasing unbounded sequence of reals larger than 1, which are called generalized primes, and the sequence of all possible products of these generalized primes, which are called generalized integers. With both...

What are L-infinity algebras? What is their relevance to deformation theory? How are they an improvement over differential graded Lie algebras? These are the questions I will attempt to answer as we go over the basics of L-infinity algebras.

Perturbations to the gut physical environment, such as changes to pH, temperature, and osmolality, have a drastic - yet underexplored - impact on the establishment and maintenance of microbial communities. While we understand the large impact of...

Slightly altering and extending McGee’s semantics for conditionals, we define a ternary notion of logical consequence for the validity of natural language arguments. The ternary logical consequence can be regarded as a unification of two kinds of...

Consider a poker game where you have to mix the deck of cards between two turns. How (many times) should you shuffle it to prevent any cheating? In this talk we will introduce the theory of mixing times, and explain how representation theory can be...

Consider a poker game where you have to mix the deck of cards between two turns. How (many times) should you shuffle it to prevent any cheating? In this talk we will introduce the theory of mixing times, and explain how representation theory can be...

Partitions arise in linear algebra as Smith normal forms of finite DVR-modules. This viewpoint has given rise to several important objects in symmetric function theory; they are indexed by partitions. What if we replace the DVR by other rings? The...