In their recent paper, Giansiracusa and Manaker introduced a
notion of tropical subrepresentations of linear representations by
considering linear actions on tropical linear spaces. In
particular, this framework naturally brings matroids into
the...
Given a Morse function on a closed smooth manifold and a Smale
gradient-like vector field adapted to it, one can construct a
topological category called the flow category associated with this
data. Its objects are the critical points of the function...
A valency argument is an elegant and well-known technique for
proving impossibility results in distributed computing. It is an
example of an extension-based proof, which is modelled as an
interaction between a prover and a protocol. Even though...
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...
In this talk, we will discuss new infinite symplectic
staircases. Much recent progress has been made in the study of
infinite symplectic staircases arising from embedding problems of
standard ellipsoids into various symplectic four-manifolds.
We...
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...
Mathematician Hel Braun, Member (1947–1948) in the School of
Mathematics, left a remarkable legacy, despite facing formidable
challenges. While Braun's mathematical contributions remain
important, her story has been mostly forgotten. In this talk...
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...
