Mathematical and numerical methods for solid-state physics
Marne la Vallée, July 1-3.
Eric Cances (École des Ponts & INRIA, Paris).
Horia Cornean (Aalborg University, Denmark).
David Gontier (Université Paris-Dauphine, Paris).
Gianluca Panati (“Sapienza” University of Rome, Italy)
Description of the event, and scientific scope:
Following the previous editions (Solid Math 2014, Trieste, Italy; Solid Math 2016, Aalborg, Denmark; Solid Math 2018, Montreal, Canada), the 2020 edition of Solid Math will be an international conference focusing on mathematical and numerical methods for condensed-matter physics, including cold gases, quantum liquids, strongly correlated electrons, and solid-state physics.
Recent discoveries in these fields give challenging mathematical questions, the main being the understanding – based on fundamental models – of the variety of new phenomena, including
topologically-ordered phases of macroscopic matter;
anomalous transport in aperiodic solids;
conductivity properties of 2d materials such as graphene, or Weyl semi-metals.
Such a mathematical comprehension would help developping numerical methods to simulate these effects, but would require the interplay of different techniques, such as operator theory, C*-algebras, differential and non-commutative geometry, K-theory...
In view of that, we are planning a focused international conference, with a threefold aim:
to encourage the exchange of ideas and methods between active researchers in the field;
to disseminate the recent results and techniques, making them accessible, by informal talks, to Ph.D. students and young post-doc fellows;
to communicate recent mathematical and numerical advances to the theoretical physics community, and vice versa.
Joint effort from the mathematics, physics and scientific computing communities is needed to address these difficult problems.