Previous Conferences & Workshops
Motives of the Hitchin system
Junliang Shen
3:35pm|Simonyi 101 and Remote Access
Topology of the Hitchin system has been studied for decades, and
interesting connections were found to orbital integrals,
non-abelian Hodge theory, mirror symmetry etc. I will explain that
a large part of the symmetries in these geometries above are...
New Effective Results Regarding the Oppenheim Conjecture and Polynomial Effective Equidistribution
1:00pm|Simonyi 101 and Remote Access
Joint work with Amir Mohammadi, Zhiren Wang, and Lei Yang
Let Q be an indefinite ternary quadratic form. In the 1980s
Margulis proved the longstanding Oppenheim Conjecture, stating that
unless Q is proportional to an integral form, the set of
values...
Geometry of Delta-Matroids
Abstract: 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...
Tropical Quiver Representations
Victoria Schleis
Abstract: 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...
Derived Categories of the Permutahedral Varieties
Abstract: 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...
Three 20 Minute Research Talks
Adrien Currier , Adi Dickstein and Elliot Gathercole
Adrien Currier (Université de
Nantes) :Exact Lagrangians in
Cotangent Bundles with Locally Conformally Symplectic
Structure
First considered by Lee in the 40s, locally conformally
symplectic (LCS) geometry appears as a generalization of
symplectic...
$p$-Adic $L$-Functions for $P$-Ordinary Hida Families On Unitary Groups
David Marcil
I will first discuss the notion of automorphic representations
on a unitary group that are $P$-ordinary (at $p$), where $P$ is
some parabolic subgroup. In the “ordinary” setting (i.e. when $P$
is minimal), such a representation $\pi$ has a...
Valuated Delta Matroids and Principal Minors
Cynthia Vinzant
Abstract: 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...
Baker-Bowler Theory for Lagrangian Grassmannians
Donggyu Kim
Abstract: Baker and Bowler (2019) showed that the
Grassmannian can be defined over a tract, a field-like structure
generalizing both partial fields and hyperfields.
This notion unifies theories for matroids over partial
fields, valuated matroids, and...
Paths to Matroid Representations
Tong Jin
Abstract: In this talk, I will first review previous
works on matroid representations initiated by Tutte in 1958,
generalized by Dress and Wenzel in the 1980s, and refined by Baker,
Bowler, and Lorscheid more recently using the language of F1...
