This series consists of talks in the area of Condensed Matter.
A pedagogic introduction will be given to: i) Emergent Majorana fermions and Majorana zero modes in certain condensed matter models and ii) Kondo insulators. This will be followed by discussion of a remarkable Quantum Oscillation Anomaly seen in recent experiments in SmB6, a Kondo insulator, by the Cambridge group , as providing evidence  for presence of Majorana fermi sea, in an unexpected place. We show a counter intuitive result that these Majorana fermions though neutral, exhibit Landau diamagnetism.
Fractional quantum Hall effect in the sequence of filling factors n/(2np +- 1) is well understood by the integer quantum Hall effect of the composite fermions at the filling factor n. A composite fermion (CF) is a bound state of an electron and 2p number of quantized vortices. However, the experimentally observed states such as 4/11, 5/13, and 3/8 which are between 1/3 and 2/5 cannot be accommodated in the conventional noninteracting theory of composite fermions.
The properties of a strange metal fermion model with infinite-range
interactions turn out to be closely related to those of charged black holes
with AdS2 horizons. I show that a microscopic computation of the ground
state entropy density of the fermion model yields precisely the Bekenstein-Hawking
entropy density of the black hole. The fermion model is UV finite and has no supersymmetry