Analysis seminar

The events will take place online through the ZOOM platform. To get the access codes please contact the secretary office (dept.math [at] unitn.it).

Next meeting

December 1, 2:30 p.m.

• Simone di Marino (Università di Genova)

Minimal charge configurations, total charge discrepancy and grand-canonical optimal transport

Based on a work in progress with L. Nenna and M. Lewin. Motivated by mathematical physics, in particular by the semi-classical limit of the grand-canonical density functional theory, we introduce the grand-canonical optimal transport. We minimize the expectation of the interaction energy between electrons, among probabilities in the configuration space which fix the average density of electrons. The key new feature of this model is that the number of electrons is not fixed. In discussing the features of this problem, we will describe the new phenomenon that is appearing, regarding the estimation of the number of electrons for the optimal configuration; we will see that that the estimate of the discrepancy of this number with respect to the average number of electrons is related to the problem of total charge discrepancy in minimal charge configurations.

Calendar
 

December 15, 3:00 p.m.

• Francesco Rossi (Università di Padova)

January 12, 2:30 p.m.

• Paolo Baroni (Università di Parma)

January 19, 2:30 p.m.

• Nicholas Edelen (Notre Dame)

February 2, 2:30 p.m.

• Mattia Fogagnolo (Centro de Giorgi)

February 9, 2:30 p.m.

• David Bate (Warwick)

March 9, 2:30 p.m. 

• Davide Vittone (Università di Padova)

April 13, 2:30 p.m.

• Giorgio Saracco (SISSA)

April 27, 2:30 p.m.

• Antonio De Simone (SISSA)

May 18, 2:30 p.m.

• Paolo Bonicatto (Warwick)

Past events