Abstract: We present new objects called quilts of alternating
sign matrices with respect to two given posets. Quilts generalize
several commonly used concepts in mathematics. For example, the
rank function on submatrices of a matrix gives rise to a...
Abstract: For a smooth projective variety, the classical
Hirzebruch--Riemann--Roch (HRR) theorem asserts the isomorphism
between the Chow ring and the Grothendieck K-ring of vector bundles
over rational coefficients. For certain toric varieties, we...
Abstract: There has been a lot of recent work connecting the two
pipe dream formulae for Schubert polynomials (classic and
bumpless). One strand is the hybrid pipe dreams of Udell and
myself, giving $2^n$ different pipe dream formulae; an
orthogonal...
Abstract: Chow rings of toric varieties feature a rich
combinatorial structure of independent interest. We will begin by
surveying four different ways of computing in these rings, due to
Billera, Brion, Fulton–Sturmfels, and Allermann–Rau. We will...
Abstract: I will survey new results on several enumerative
problems related to the geometry, topology, and arithmetic of
moduli spaces of smooth and stable curves. The enumerative problems
include counting isomorphism classes of curves of genus $g$...
Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd
Sturmfels
This event aimed to foster collaboration between mathematicians
and physicists. The focus was on the intersection of combinatorial
geometry and fundamental physics, covering...
