Seminar
Vector-valued Laurent polynomial equations, toric vector bundles and matroids
Some recent progress on integral models of Shimura varieties
Cross Ratios and Fourier Integrals in Phase Space
An Epidemic Model with Pathogen Tolerance and Trade-Off
The Twistor Curve
Weakly Monotone Functions on Metric Measure Spaces
Abstract: In this paper we develop a theory of weakly monotone functions on metric measure spaces. We develop some analytic properties of such functions and prove an approximation theorem for a general $N^{1,p}(X)$ function for $p>1$. We exhibit a class of functionals whose minimizers are weakly monotone which includes the $p-$energy functional and as a corollary we show that minimizers of this energy satisfy a weak maximum and weak minimum principle.