Archive for September 2013

Beautiful Sunday in Williamstown

This beautiful Sunday in Williamstown began with a bike ride to the celebration of Alpaca Day at Sweet Brook Farm. Then Fall Festival at Hopkins Forest, including homemade cider and apple butter, music, and many fair representatives of the Williams Math/Stats Department (see photos below). Finally a delightful harpsichord concert by Professor Emeritus Victor Hill at the Clark. Continue reading ‘Beautiful Sunday in Williamstown’ »

Optimal Transportation with Constraint

In Barcelona, Robert McCann talked about his work with Jonathan Korman and Christian Seis on optimal transportation with a constraint h(x,y) on the flow from x to y. A constant constraint h means that an x must be spread out over at least fraction 1/h of the target; there is not the capacity to send it all to the most desirable spot. Here we present a simplified extension of some of their results.  Continue reading ‘Optimal Transportation with Constraint’ »

Geometry and PDEs in Barcelona

Sixty mathematicians and students gathered in Barcelona at the Center for Research in Mathematics CRM for a Conference on Qualitative and Geometric Aspects of Elliptic PDEs, proficiently organized by Xavier Cabré, Daniele Castorina, Manel Sanchón, and Enrico Valdinoci.

Barcelona01

In my talk I mentioned a new isoperimetric theorem by Xavier Cabré and his students Xavier Ros-Otón and Joaquim Serra, which they describe in this video. Continue reading ‘Geometry and PDEs in Barcelona’ »