Game Theory is one of the most abstract mathematical disciplines with applications to economy, politology and evolutionary biology. We illustrate on simple examples what is the subject of studies of this branch of science.
The climate was always changing on Earth, but it is interesting that the beginning of global warming period in last 100 years matched with the beginning of industrial revolution when we started to pollute air heavily. Is it by accident or is there some correlation? This is our reaction to talks of Greta Thunberg from the point of view of theoretical physics…
One of the most quickly developing mathematical disciplines is algebraic geometry. People found a solution for such a hard problem as Fermat last theorem by this. It is also useful in physics. We present a part concerning plabic graph, which has connections with amplituhedron physics.
Quantum Gravity is so difficult subject, because we don’t have so far any experimental data from the Planck scale. We need to solve many different issues simultaneously as nonlocality, background independence, or dimensional reduction for solving this problem. We claim that it is possible to formulate a different approach from all known paradigms, which is based on ideas of causal set approach, loop quantum gravity and string theory. We present the basic idea.
My contribution at 38th Winter School of Geometry and Physics in Srní 2019. My talk was about construction of Quantum Gravity, which I called Ring paradigm. Mathematical apparatus of this theory should be hidden in parts of algebraic geometry and topology.