Seminar
Computing Crystalline Deformation Rings via the Taylor–Wiles–Kisin Patching Method
Cardinal Bounds in Spaces with a π-Base Whose Elements have an H-Closed Closure
Introduction to tropical geometry
It is the first meeting of Combinatorial Algebraic Geometry Reading seminar. I will give an introduction to tropical geometry.
Combinatorial Algebraic Geometry Reading Seminar
It is a weekly seminar targeted at graduate students in algebra/geometry.combinatorics. The main topics are toric varieties, tropical geometry and matroids. We will base the seminar on Maclagan-Sturmfels book "Tropical Geometry".
The seminar will be on Zoom this term:
https://pitt.zoom.us/j/95537107311
Patterns of Life: Mathematical Exploration of Self-Organization in Biological Systems
Torsors
All End Spaces of Infinite Graphs are Paracompact
Sobolev extension domains and Poincaré inequalities
We investigate which domains in $\mathbb{R}^n$ allow extensibility of Sobolev functions. Such domains are called $W^{\{m,p\}}$ extension domains, we show that under mild hypothesis on the extension operator that these domains are equivalent to domains satisfying the local Poincaré inequality.