Seminars Sorted by Series

Abstract: Matroids are combinatorial structures that model independence, such as that of edges in a graph and vectors in a linear space. I will introduce the theory of matroids along with their surprising connection to a class of multivariate...

Abstract: Tropical geometry is a modern degeneration technique in algebraic geometry. Think of it as a very drastic degeneration in which one associates a limiting object to a family of algebraic varieties that is entirely combinatorial.  I will...

We show that certain colored-matching numbers fit into a Lorentzian polynomial.  We achieve this via methods arising from the two featured topics of the workshop: the tropical geometry of compactifications and the convex geometry of degrees of...

Abstract: Matroids are combinatorial structures that model independence, such as that of edges in a graph and vectors in a linear space. I will introduce the theory of matroids along with their surprising connection to a class of multivariate...

Abstract: Tropical geometry is a modern degeneration technique in algebraic geometry. Think of it as a very drastic degeneration in which one associates a limiting object to a family of algebraic varieties that is entirely combinatorial.  I will...

Abstract: Matroids are combinatorial structures that model independence, such as that of edges in a graph and vectors in a linear space. I will introduce the theory of matroids along with their surprising connection to a class of multivariate...

Abstract: Tropical geometry is a modern degeneration technique in algebraic geometry. Think of it as a very drastic degeneration in which one associates a limiting object to a family of algebraic varieties that is entirely combinatorial.  I will...

Abstract: Matroids are combinatorial structures that model independence, such as that of edges in a graph and vectors in a linear space. I will introduce the theory of matroids along with their surprising connection to a class of multivariate...

Abstract: Tropical geometry is a modern degeneration technique in algebraic geometry. Think of it as a very drastic degeneration in which one associates a limiting object to a family of algebraic varieties that is entirely combinatorial.  I will...

In this talk, we will discuss the existence problem of extremal metrics on a Kähler manifold. The best known examples of these are Kähler-Einstein and constant scalar curvature Kähler (cscK) metrics. Yau's resolution of the Calabi conjecture proves...

The goal of this talk is to present two problems related to wandering domains. I will define the participating objects, and give a historical overview of what was done and what is left to do to solve these problems. 

No basic knowledge in complex...

In this talk, we will discuss the computation of motivic stable homotopy groups and their applications in classical computations. Specifically, we will discuss an example of complex motivic applications in classical theory, the Adams spectral...

Combinatorial discrepancy asks the following question: Given a ground set U and a collection S of subsets of U, how do we color each element in U red or blue so that each subset in S has almost an equal number of each color? A straightforward idea...

We will explore some counting problems for number fields in which the conjectures formulated first by Malle and refined by Bhargava play a central role. In the process we will see some standard techniques in analytic number theory. 

For a low-dimensional manifold, one often tries to understand its intrinsic topology and geometry through its submanifolds, in particular of co-dimension 1. To be interesting and to give some information, such a submanifold should interact with the...

I’ll describe graph complexes, introduced by Kontsevich in the context of mathematical physics. I’ll survey its connections to geometry and topology, highlighting its relation to the cohomology of moduli spaces of curves. 

We give a gentle introduction to rational and Du Bois singularities in algebraic geometry. Through examples, we will see how birational geometry comes into play with the theory of differential operators. Time permitting, we discuss the sheaf...