  A recent experiment has shown a macroscopic quantum coherent condensate at
203 K, about 19 degrees above the coldest temperature recorded on the Earth,
184 K, in pressurized sulfur hydride. This discovery is relevant not only in
material science and condensed matter but also in other fields ranging from
quantum computing to quantum physics of living matter. It has given the start
to a gold rush looking for other macroscopic quantum coherent condensates in
hydrides at the temperature range of living matter 200<Tc<400K. We present here
a review of the experimental results and the theoretical works and we discuss
the Fermiology of H3S focusing on Lifshitz transitions as a function of
pressure. We discuss the possible role of the shape resonance near a neck
disrupting Lifshitz transition, in the Bianconi-Perali Valletta (BPV) theory,
for rising the critical temperature in a multigap superconductor, as the
Feshbach resonance rises the critical temperature in Fermionic ultracold gases.
