Hamburg 2016 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 4: Mathematical Aspects of Classical and Quantum Gravity (with MP)

GR 4.4: Invited Talk

Tuesday, March 1, 2016, 10:00–10:30, VMP6 HS A

Loop quantum gravity: a canonical review — •Christian Fleischhack — Institut für Mathematik, Universität Paderborn, 33095 Paderborn

Over the past 25 years, loop quantum gravity has become a relevant attempt to explain the mystery of quantum gravity. However, despite several remarkable achievements, not all the initial dreams have turned into reality; e.g., the dynamics of the theory has remained a rather open territory.

In our review on the current status of loop quantum gravity, we will focus on its canonical part. After presenting the well-understood kinematical basis, we will address dynamical issues as well as an implementation of symmetries that allows to partially relate loop quantum gravity to loop quantum cosmology.