This talk will discuss what's new with some of the most
interesting looking cosmological tensions: the Hubble tension, the
growth of structure tension (S8, growth rate, Lyman Alpha) and Big
Bang Nucleosynthesis (Lithium and Deuterium). Some of these...
Quantizing classical systems we consider Hilbert spaces
equipped with representations of canonical commutation
relations (CCR). In the case of an infinite number of degrees
of freedom it is necessary to consider representations of CCR
that are not...
Delta-matroids are "type B" or "type C" analogues of matroids. I
will discuss how to extend a geometric construction related to
matroids to delta-matroids. Using this construction, we prove the
ultra log-concavity of the number of independent sets...
Grassmannians and flag varieties are important moduli spaces in
algebraic geometry. Quiver Grassmannians are generalizations of
these spaces arise in representation theory as the moduli spaces of
quiver subrepresentations. These represent...
The derived category of a variety is an important and difficult
invariant. In this talk, I discuss a purely convex-geometric and
combinatorial approach to these categories for toric varieties.
Along the way, we will run into the curious question of...
Given an anticanonical divisor in a projective variety, one
naturally obtains a monotone Kähler manifold, and the divisor
complement is naturally a Liouville manifold. For certain kinds of
singular divisors, we will outline a result obtaining rigid...
Relative symplectic cohomology, an invariant of subsets in a
symplectic manifold, was recently introduced by Varolgunes. In this
talk, I will present a generalization of this invariant to pairs of
subsets, which shares similar properties with the...
First considered by Lee in the 40s, locally conformally
symplectic (LCS) geometry appears as a generalization of symplectic
geometry which allows for the study of Hamiltonian dynamics on a
wider range of manifolds while preserving the local...
Delta matroids are a generalization of matroids, encompassing
combinatorial structures such as matchings of graphs and principal
minors of symmetric matrices. In this talk, I will discuss a notion
of valuated Delta matroids and their...
From the collapse of molecular clouds into stars to spectacular
galactic mergers, binary systems form on many scales across the
universe. Interactions between binaries and their environments can
sculpt the stellar populations we observe today, alter...
