# 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.