Applications of DG Homological Algebra in Commutative Algebra
Absract:
Seminar
Global bifurcation for monotone fronts of elliptic equations
Long time behavior of 2d water waves with point vortices
Global solutions of the compressible Navier-Stokes equations
Hyper-elastic Ricci Flow
Drift Conditions for the Ergodicity of a Class of Level-Dependent M/G/1-type Processes
Abstract:
Regularity Theory for Nonlocal Equations with VMO Coefficients
Rigid Cocycles and Their Arithmetic
Abstract:
K-theory of toric varieties
Many geometric invariants of a normal toric variety X can be described in terms of its associated polyhedral fan F. Fulton and Sturmfels described the Chow ring of a complete toric variety using Minkowski weights, which are a ring of integer-valued functions on F satisfying a balancing condition. These weights have appeared in many contexts since their introduction, including in tropical geometry where they are central to tropical intersection theory.