This binational Wilhelm and Else Heraeus Seminar organized by ICTP-SAIFR will bring together primarily scientists from Brazil and Germany to discuss both the challenges and the prospects for quantum gases in spatial dimensions lower than three. Scientists from other parts of the world will also participate and provide a global perspective of recent developments. In addition to plenary sessions, where leading experts on quantum gases will present their latest work, the seminar will have contributed talks by some young participants and poster sessions to disseminate widely the research of all attendees.