Events

Title: Tangent Lines and the equation 28 = 7 × 4

Abstract:

I will discuss combinatorial aspects of tangent lines to curves and planar graphs. In algebraic geometry, every smooth plane curve has finitely many lines that are tangent to it at two separate points.

Title: Random Networks: Enumeration, Generation, and Universality

Abstract:

Large networks appear in almost all branches of the sciences and in everyday life, and they are often modeled by random graphs. Among the various random graph models, random graphs with specified degrees are particularly important in modelling and analyzing real-world networks.

Title: Unitary Groups

Abstract:

Unitary groups play an important role in physics and in finite geometry. This talk, the first of two, will provide an introduction to the topic focusing on the case where the underlying field is the complex numbers.

Title: Counting matroids

Abstract:

We discuss several recent results concerning matroid enumeration and typical properties of matroids, emphasizing the central role that sparse paving matroids play in these results.

Title: Traveling Salesman Problems

Abstract:

We discuss open research questions, both theoretical and computational, surrounding the traveling salesman problem.

Title: Unitary Groups, II

Abstract:

Actually the title should be 2 Unitary groups - I will discuss the 2-dimensional unitary groups.

Title: Claws, ω and χ: induced binary submatroids

Abstract:

I will discuss the interplay between clique number, chromatic number, and excluding induced submatroids in the setting of binary matroids.

Title: Chromatic Symmetric Functions and H-Free Graphs

Abstract:

Chromatic symmetric functions are defined in terms of colourings of particular graphs. Some key conjectures in this area concern whether chromatic symmetric functions of claw-free graphs can be written in terms of other symmetric functions with positive coefficients.

Title: LWE Part 1: The problem, the cryptosystem and its relationship to lattice Problems

Abstract:

In this talk we will give an overview of the Learning With Errors problem,

Title: What's an amplituhedron?

Abstract: 

I'll introduce the amplituhedron, focusing on why the suffix "hedron" is justified.