Calculus of Variations and Geometric Measure Theory

Unfinished Business: Problems in Applied Geometric Measure Theory, Many-particle Systems, Epidemiology, and Phase Transitions

created by alberti on 17 May 2023

24 jul 2023 - 28 jul 2023   [open in google calendar]

Bingen am Rhein, Germany

Unfinished Business: Problems in Applied Geometric Measure Theory, Many-particle Systems, Epidemiology, and Phase Transitions.
International Conference in Honour of Stephan Luckhaus' 70th anniversary.

Aims and Goals:
There are recent advances and longstanding problems in all the above fields.
One of those problems is the description of singularity sets especially rectifiability for finite or infinite energy singularities. The main examples for finite energy singularities are still the ones of minimal surfaces and harmonic maps, for infinite energy singularities dislocations and Bose Einstein vortices. One of the challenges for the future is to better understand the interaction of rectifiable singularity sets in the presence of constraints given by the isotopy.
But more generally the description of local heterogeneity and constraints posed on the one hand by topology and on the other by energy scaling are what might be called a unifying theme between the GMT description of singularities of pde's and the theory of phase transitions in general.
In many particle systems the big problem is to determine higher order terms in the large deviations expansion in the presence of phase transitions, like surface tension, but hopefully in the future also free energies of dislocation structures.
Epidemiology seems an outlier as a subject, but only since the origin of the Kermack-McKendrick models in kinetic gas theory has been forgotten.

Confirmed speakers (so far): Giovanni Alberti (University of Pisa, Italy)
Lorenzo Bertini (University of Rome, Italy)
Fabrice Bethuel (Sorbonne University, Paris, France)
Kaushik Bhattacharya (California Institute of Technology, Pasadena, USA)
Simon Brendle (Columbia University, New York, USA)
Yann Brenier (University of Paris-Saclay, Orsay, France)
Sara Daneri (GSSI, L'Aquila, Italy)
Patrick Dondl (University of Freiburg, Germany)
Raffaele Esposito (University of L'Aquila, Italy)
Patrik Ferrari (University of Bonn, Germany)
Gero Friesecke (TU Munich, Germany)
Adriana Garroni (University of Rome, Italy)
Jonas Hirsch (University of Leipzig, Germany)
Georgy Kitavtsev (Middle East University, Cyprus, Turkey)
Chun-Chi Lin (National Taiwan Normal University, Taiwan)
Konstantinos Zemas (University of Münster, Germany)
Stephan Luckhaus (University of Leipzig, Germany)
Andrea Marchese (University of Trento, Italy)
Rossanna Marra (University of Rome, Italy)
Maria Giovanna Mora (University of Pavia, Italy)
Stefan Müller (University of Bonn, Germany)
Felix Otto (MPI for Mathematics in the Sciences, Leipzig, Germany)
Eris Runa (Deutsche Bank AG, London, United Kingdom)
Manfred Salmhofer (University of Heidelberg, Germany)
Lucia Scardia (Heriot-Watt University, UK)
Reiner Schätzle (University of Tübingen, Germany)
Emanuele Spadaro (University of Rome, Italy)
Michael Struwe (ETH Zürich, Switzerland)
Horst Thieme (Arizona State University, Tempe Arizona, USA)
Juan J.L. Velazquez (University of Bonn, Germany)
Neshan Wickramasekera (University of Cambridge, UK)

Organizers: Thomas Blesgen, Nicolas Dirr, Matthias Röger, Angela Stevens.