Søren Fournais is Mathematics Professor at Aarhus University in Denmark. During June and July 2019 he is a Visiting Fellow at CAS and will give a number of talks on "The energy of dilute Bose gases" based on the following two publications:

• The energy of dilute Bose gases - arXiv:1904.06164
• A simple 2nd order lower bound to the energy of dilute Bose gases - arXiv:1901.00539

The energy of the dilute Bose gas has attracted much attention in recent years.
Though the correct formula was already known to physicists more than 50 years ago based on non-rigorous approximations. To establish this formula rigorously has since been a fundamental problem in mathematical physics. The proof of the leading order term was only rigorously established by Lieb and Yngvason in 1998. Recently, the correction term (the Lee-Huang-Yang term) has been rigorously proved by Søren Fournais and Jan Philip Solovej (Copenhagen). The talk will give an overview of the main ideas of the proof of this result.The focus will be on the lower bound - the upper bound being a consequence of previous work by Yau and Yin.

Talks

The Dilute Bose Gas
Thursday, 11. July, starting 14:15 | B134
In Oberseminar 'PDG und Spektraltheorie'

A mini-course series, consisting of four talks, where more details on proofs will be given, for those (including students, PhD students, post-docs) interested in gnowing more about the subject.

1. Monday 15. July, 10:00 - 12:00 | B046
2. Monday 15. July, 14:00 - 16:00 | B046
3. Tuesday, 16. July, 10:00 - 12:00 | B252
4. Wednesday, 17. July, 16:00 - 18:00 | B132
Oberseminar `Calculus of Variations and Applications', Lundholm/Nam