Conférences - Calcul infinitésimal, équations différentielles et intégrales - États-Unis

Recently, the techniques from calculus of variations have been extensively used to tackle isoperimetric-type inequalities in Euclidean space. In particular, progress was made on a number of newly emerged questions in geometric probability theory. Understanding these questions will shed light on how symmetry and structure influence various families of isoperimetric-type inequalities. This circle of ideas has been used in Riemannian geometry for decades in the fields of geometry and probability such as hypercontractive inequalities and their interactions with curvature. Recently, these ideas have found new applications. Conversely, questions motivated purely by differential geometry, such as mean curvature flow, are ameliorated by studying isoperimetric-type problems with respect to the Gaussian measure. This connection was evidenced by Huisken's monotonicity formula and studies of singularities in mean curvature flow. The above isoperimetric-type questions have tight connections in

This regional conference series is a collaborative event between the research groups in analysis and PDE at the University of Cincinnati and the University of Kentucky. It meets once a year alternating between the two universities. The goal is to foster closer research collaborations between the two departments and to bring leading experts in the field to the region.

Analyse,    Mathématiques numériques

Mathematical Sciences Research Institute (MRSI)

The field of Integral Equations has a long and distinguished history, being the driving force behind many fundamental developments in various areas of mathematics including Harmonic Analysis, Partial Differential Equations, Potential Theory, Scattering Theory, Functional Analysis, Complex Analysis, Operator Theory, Mathematical Physics and Numerical Analysis.

Cours et évènements pour étudiants en mathématiques,    Mathématiques appliquées (en général)

Mathematical Sciences Research Institute (MRSI)

Cours et évènements pour étudiants en mathématiques,    Algèbre