Previous Conferences & Workshops
Omri Solan
Teichmuller dynamics give us a nonhomogeneous example of an
action of SL_2(R) on a space H_g preserving a finite measure. This
space is related to the moduli space of genus g curves. The SL_2(R)
action on H_g has a complicated behavior: McMullen...
Evolution of Coherent Structures in Incompressible Flows
2:30pm|Simonyi Hall 101 and Remote Access
In this talk, we will explore recent developments in the study
of coherent structures evolving by incompressible flows. Our focus
will be on the behavior of fluid interfaces and vortex filaments.
We include the dynamics of gravity Stokes interfaces...
Algebraic Torsion of Concave Boundaries of Linear Plumbings
Joanna Nelson
1:00pm|Simonyi 101 and Remote Access
Algebraic torsion is a means of understanding the topological
complexity of certain homomorphic curves counted in some Floer
theories of contact manifolds. This talk focuses on algebraic
torsion and the contact invariant in embedded contact...
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...
