Talks

Applications of the quantum nature of our universe to potential new technologies like quantum cryptography and quantum computation. In particular, theoretical developments such as fault-tolerant quantum codes and protocols for quantum error correction.

Observational cosmology, with particular focus on the formation and evolution of large scale structures in our universe like clusters of galaxies as large as 500 million light years. “Weighing” the universe, and mapping out the mysterious dark matter it contains.

What, exactly, happened around the time of the Big Bang? Exploring new models inspired by superstring theory and supergravity, e.g. ones in which we live on “branes” that collide with a “big bang”. Satellite experiments to test such models.

Physics beyond the standard model: theories of elementary particles with extra space dimensions (large, small, warped and flat); supersymmetry; grand unification; dark matter; inflation and dark energy; as well as relationships between the different subjects.

Theoretical models for cosmology – from standard to exotic (e.g. cosmic strings and monopoles). “Quantum creation” of multiple universes out of nothing; eternal inflation and the anthropic selection of a world that would ultimately become hospitable to life.

Cosmology of the early universe; theory and detection of gravitational waves, e.g. from the violent last stages of inspiral as two orbiting black holes coalesce. Using cutting edge quantum physics in designing practical, ultra sensitive gravitational wave detectors.

Implications of high-energy elementary particle physics for physics of the early universe and its evolution (Big Bang, creation of matter, formation of galaxies, etc). And vice-versa: implications of observable cosmological data for fundamental physics.

We present a short review of the local conformal symmetry and its anomalous violation in curved $4d$ space-time. Furthermore we discuss the ambiguities of conformal anomaly and the anomaly-induced effective actions. Despite the conformal symmetry is always broken at quantum level, it is useful for constructing the best known approximations for investigating quantum corrections to the classical action of gravity. These quantum corrections represent an appropriate basis for a number of applications in cosmology and black hole physics.