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
introduce...
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 polynomials that...
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
introduce...
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 polynomials that...
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
introduce...
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 polynomials that...
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...
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
introduce...
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 polynomials that...
The goal of this lecture series is to give you a glimpse into
the Langlands program, a central topic at the intersection of
algebraic number theory, algebraic geometry and representation
theory. In the first lecture, we will look at a celebrated...