Seminarium KMMF "Teoria Dwoistości"
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2026-01-15 (Czwartek)
Zapraszamy do sali 1.02, ul. Pasteura 5 o godzinie 10:15 
Mathieu Lewin (CEREMADE,CNRS)Gross-Pitaevskii theory of supersolids
Supersolids have been the subject of much recent experimental work on ultra-cold Bose gases. In this talk I will explain the mathematical model behind it (the Gross-Pitaevskii equation) and state some recent rigorous results obtained in collaboration with P.T. Nam (Munich). I will explain how to mix tools from PDEs and statistical mechanics to study the phase diagram of this nonlinear equation. The main result is that there is a unique freezing transition for interaction potentials that are stable but not positive definite.