Dear colleagues,
we are happy to announce the following online talk:
Speaker: *Lorenzo Taggi* (Università di Roma "La Sapienza")
Title: *Macroscopic loops in the Bose gas, Spin O(N) and related models.*
Abstract: We consider a system of closed random walks which interact through a potential which depends on their mutual distance. The model is an intriguing mathematical object on its own and is closely related to the probabilistic reformulation of the interacting Bose gas in discrete space, to spin systems and to the dimer model. We study the model in dimension d > 2 and prove the occurrence of a phase transition corresponding to the presence of macroscopic loops, whose length is proportional to the size of the system, as the chemical potential is large enough. For the interacting Bose gas the proof of this phase transition is referred to as Bose-Einstein condensation and is one of the most important open problems in statistical mechanics.
Date and time: *Monday June 20, 17:30-18:30 (Rome time zone)*.
*Zoom link:* https://us02web.zoom.us/j/81858823936?pwd=dVRQRGcrTzRMMDV1UEJNcHdFN3JyQT09
*ID riunione:* 818 5882 3936 *Passcode:* 058907
This talk is a talk of the *(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics* organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico and Milano-Statale. For more information see the dedicated webpage: https://paviamilanoseminars.wordpress.com/
Participation is free and welcome!
Best regards, The organizers (Mario Maurelli, Carlo Orrieri, Maurizia Rossi, Margherita Zanella)