**Aurélien Barrau** –** “Recent results in loop quantum cosmology”**

In this talk I will focus on recent results obtained in loop quantum cosmology. First, I will

focus on the background dynamics and investigate into the details how reliable the

predictions are with respect to changes in initial conditions, to changes in inflation

potentials and to changes in the energy-to-shear ratio. Then I will switch to predictions

about perturbations and I will show that some approaches to loop quantum cosmology can

already be excluded with is very nice to establish the falsifiability of the approach.

**Robert Brandenberger** – **“Emergent Space and String Gas Cosmology?”**

**Martin Bojowald – “Emergence of non-classical space-time structures”**

This talk introduces new methods which can be used to classify

inequivalent space-time structures in canonical gravity. Some quantum

effects, in particular in models of loop quantum gravity, lead to new

structures that cannot be realized in Riemannian geometry. The main

physical effect related to this new feature is non-singular signature

change, with implications in cosmology and black-hole physics.

**Xavier Calmet – “Effective Quantum Gravity: Applications to Cosmology and Black Holes”**

In this talk I review some recent progress in Effective Quantum Gravity (EQG) and discuss

some model independent generic features of quantum gravity which can be identified using

effective field theory methods. One of these features is the appearance of non-local effects

at short distances. I describe applications to cosmology and black holes and discuss whether

the question of singularities can be addressed within this framework. After revising

quantum corrections to Newton’s law and the Schwarzschild metric, I also discuss how to

probe these non-local effects with different observations and experiments. Finally I

emphasize that within EQG, it is possible to show that the true scale of quantum gravity is

dynamical and that the usual notion of space-time most likely breaks down at that scale.

**Bianca Dittrich – “Phases and faces of quantum geometry”**

I will review the different quantum geometry realizations, recently constructed, and discuss

their applicability to describe our universe at large scales. I will explain how we can via a

renormalization process construct quantum gravity valid over all scales.

**Jaume Garriga – “Primordial black holes and baby universes from domain walls”**

In theories with a broken discrete symmetry, Hubble sized spherical domain

walls may spontaneously nucleate during inflation. These objects are

subsequently stretched by the inflationary expansion, resulting in a broad

distribution of sizes. The fate of the walls after inflation depends on

their radius. Walls smaller than a critical radius fall within the

cosmological horizon early on, while their energy density is subdominant

relative to that of ambient matter. In this

“subcritical” case, walls collapse due to their own tension, and form

ordinary black holes. But if a wall is large enough, its repulsive

gravitational field becomes dominant much before the wall can fall within

the cosmological horizon. In this “supercritical” case, a wormhole throat

develops, connecting the ambient “exterior” FRW universe with an

“interior” baby universe, where the unbounded exponential growth of the

wall radius takes place. The wormhole pinches off in a time-scale

comparable to its light-crossing time, and black holes are formed at its

two mouths. The resulting black hole population has a wide distribution

of masses and can have significant astrophysical effects.

**Steven Giddings** ** – “How can gravity be emergent?”**

**Steffen Gielen** – **“Emergence of a Low Spin Phase in quantum gravity condensates”**

Building on several previous talks in this workshop that discuss the emergence of spacetime

as a condensate in group field theory (GFT), I will discuss the emergence of a condensate

phase characterised by a large number of quanta with the same spin (or, geometrically, the

same volume per quantum), with occupation numbers of other spins exponentially

suppressed. This phase corresponds to what sees required in loop quantum cosmology

(LQC) and thus justifies some aspects of LQC dynamically and in a more fundamental

description. I will speculate on how the same mechanism might lead to an understanding of

the small amplitude of cosmological perturbations.

**Jean-Luc Lehners – “Real Time Quantum Cosmology”**

I will revisit simple minisuperspace settings, from the viewpoint of the real Lorentzian path

integral rather than the often-employed Euclidean version. Picard-Lefshetz theory allows one

to define the path integral unambiguously, and selects the relevant saddle points.

Comparing with the canonical approach, this allows one to single out a unique solution of

the Wheeler-De Witt equation. If one imposes no-boundary initial conditions, the resulting

weighting of the wave function favours large values of the cosmological constant, in contrast

to the Hartle-Hawking prescription.

Within the framework described here one can also describe quantum transitions between

contracting and expanding universes. I will describe two examples of such quantum

resolutions of classical big crunch singularities.

**Hermann Nicolai – “Conformal Anomalies and Gravitational Waves”**

We argue that the presence of conformal anomalies in gravitational theories can lead to

observable modifications to Einstein’s equations via the induced anomalous effective

actions, whose non-localities can overwhelm the smallness of the Planck scale. The fact that

no such effects have been seen in recent cosmological or gravitational wave observations

therefore imposes strong restrictions on the field content of possible extensions of Einstein’s

theory: all viable theories should have vanishing conformal anomalies. We then show that a

complete cancellation of conformal anomalies in D=4 for both the C2 invariant and the Euler

(Gauss-Bonnet) invariant can only be achieved for N-extended supergravities with N≥5, as

well as for M theory compactified to four dimensions.

**Jakub Mielczarek** – **“The Nonlinear Field Space Theory”**

In recent years the idea that not only the configuration space of particles,

i.e. spacetime, but also the corresponding momentum space can have a

nontrivial geometry has attracted significant attention, especially in the

context of quantum gravity. The aim of the talk is to discuss extension of

this concept to the domain of field theories, the so-called Nonlinear Field

Space Theory (NFST). After presenting the motivation and general aspects

of the approach we will focus on analysis of the prototype (quantum) NFST

of a scalar field. The case of compact field space is especially interesting,

which is a natural way to implement the “Principle of finiteness” of physical

theories, which once motivated the Born-Infeld theory. Predictions and

possible areas of application of NFST, especially in the early universe cosmology,

will be discussed.

**Jonathan Oppenheim** – University College of London

**Daniele Oriti** – AEI

**Patrick Peter** – **“The trajectory approach of quantum cosmology and some bouncing solutions”**

The trajectory-based approach of quantum mechanics is especially well-suited for

quantum cosmology as it provides an actual picture of the Universe evolution. Focusing

Bianchi I and FLRW minisuperspaces for which the Hilbert space of solutions can

be explicitly constructed, we obtained non singular bouncing solutions. Perturbations

can then be analysed consistently in a unified framework.

**Mairi Sakellariadou** – King’s College

**Vincent Vennin – “Critical Number of Fields in Stochastic Inflation”**

In the inflationary paradigm, the transition from quantum fluctuations to classical but

stochastic density perturbations plays an important role. In particular, it implies that the

open quantum system comprising the super-Hubble degrees of freedom can be described

with a classical stochastic theory, the “stochastic inflation” formalism. In this framework, the

short-wavelength quantum fluctuations act as a classical noise on the dynamics of the

super-Hubble scales.

I will explain which quantum backreaction signatures are left by this effect on the

correlation functions of primordial cosmological perturbations. In single-field inflation, those

are typically Planck suppressed, but if multiple fields are driving inflation, they can be large

even at sub-Planckian energy. More generally, the number of fields is a critical parameter,

and can yield infinite correlation functions. These can be regularised by introducing a

reflecting or absorbing wall at high energy or field value, and I will explain which prospects it

opens for probing quantum gravity effects on inflationary dynamics.

**Alexander Vilenkin** – **“On quantum creation of a toroidal universe”**

The Wheeler-DeWitt equation for a spatially flat universe with toroidal

topology has no energy barrier, and it is often argued that the tunneling

wave function for such a universe should be unsuppressed — in contrast to

the case of a spherical universe, where it is suppressed by an exponential

factor. I will argue that, on the contrary, quantum creation of a

toroidal universe is either impossible or it depends sensitively on the

unknown Planck-scale physics.

**Edward Wilson-Ewing** – **“Bouncing cosmologies from quantum gravity condensates”**

I will explain how the large-scale cosmological dynamics can be obtained from the

hydrodynamics of isotropic group field theory condensate states in the Gross-Pitaevskii

approximation. The correct Friedmann equations are recovered in the semi-classical limit for

some choices of the parameters in the action for the group field theory, and quantum gravity

corrections arise in the high-curvature regime causing a bounce which generically resolves

the big-bang and big-crunch singularities.