### Conveners

#### Plenaries: Plenaries I

- Phiala Shanahan (MIT)

#### Plenaries: Plenaries II

- Stefan Kühn

#### Plenaries: Plenaries III

- Sinya Aoki (Yukawa Institute for Theoretical Physics, Kyoto University)

#### Plenaries: Plenaries IV

- Rainer Sommer (DESY)

#### Plenaries: Plenaries V

- Constantia Alexandrou

#### Plenaries: Plenaries VI

- Sasa Prelovsek (University of Ljubljana)

#### Plenaries: Plenaries VII

- James Zanotti (University of Adelaide)

#### Plenaries: Plenaries VIII

- Vera Gülpers (The University of Edinburgh)

#### Plenaries: Plenaries IX

- Francesco Di Renzo (Università di Parma and INFN)

#### Plenaries: Plenaries X

- Andreas Kronfeld (Fermilab)

Recent results from lattice simulations of QCD at nonzero temperature and/or density and/or in presence of magnetic fields will be reviewed. Progress in our understanding of the phases and boundaries in the phase diagram, as well as on the calculation of thermodynamic quantities with relevant phenomenological consequences will be discussed.

As the precision test of the standard model has become accurate, the need for fine lattices has been increasing. However, as we approach the continuum limit, we get into the critical region of the theory and encounter critical slowing down. Among many studies tackling this problem, we develop the idea of trivializing map, whose use in lattice calculation was proposed by Luscher. With this...

In this talk, we review recent advances in applying quantum computing to lattice field theory. Quantum technology offers the prospect to efficiently simulate sign-problem afflicted regimes in lattice field theory, such as the presence of topological terms, chemical potentials, and out-of-equilibrium dynamics. First proof-of-concept simulations of Abelian and non-Abelian gauge theories in...

Reaching Exascale compute performance at an affordable budget requires increasingly heterogeneous HPC systems, which combine general purpose processing units (CPUs) with acceleration devices such as graphics processing units (GPUs) or many-core processors. The Modular Supercomputing Architecture (MSA) developed within the EU-funded DEEP project series breaks with traditional HPC system...

Title: Structure and geometry of 12C from a Wigner SU(4) symmetric interaction

The carbon-12 nucleus, one of the most crucial elements for life, is full of interesting structures and multifaceted complexity. One famous example is the first excited 0+ state, the so called Hoyle state. It can not be described by most of the ab initio calculations. Moreover, a lack of model-independent...

A recently re-discovered variant of the Backus-Gilbert algorithm for spectral reconstruction enables the controlled determination of smeared spectral densities from lattice field theory correlation functions. The particular advantage of this model-independent approach is the *a priori* specification of the kernel with which the underlying spectral density is smeared, allowing for variation of...

A very rich place to look for phenomena to challenge our current understanding of physics is the flavor sector of the Standard Model (SM). In particular, the $|V_{cb}|$ matrix element of the CKM matrix is the subject of a long standing tension, depending on whether it is determined using inclusive or exclusive methods. On top of that, the SM theoretical calculations of some universality ratios...

We review recent progress on heavy flavor physics from lattice QCD.

One of the most direct predictions of QCD is the existence of color-singlet states

called Glueballs, which emerge as a consequence of the gluon field self-interactions.

Despite the outstanding success of QCD as a theory of the strong interaction

and decades of experimental and theoretical efforts, all but the most basic properties of Glueballs are still being debated.

In this talk, I...

The structure of hadrons relevant for deep-inelastic scattering are completely characterised by the Compton amplitude. The standard approach in structure function calculations is to utilise the operator product expansion where one computes the local matrix elements. However, it is well established that tackling anything beyond leading-twist presents additional challenges that are not easily...

Next generation high-precision neutrino scattering experiments have the goal of measuring the as-of-yet unknown parameters governing neutrino oscillation. This effort is hampered by the use of large nuclear targets: secondary interactions within a nucleus can confuse the interpretation of experimental data, leading to ambiguities about the initial neutrino interaction in scattering events. ...

We review progress on the lattice QCD calculation of parton structure in the nucleon, specifically that of the gluon. The structure of a hadron is typically described by $x$ dependent distributions, most notably the simplest case of the parton distribution function (PDF). Boosted hadronic matrix elements of operators, which are calculable in lattice QCD, can be related to the PDF indirectly....

First-principles calculations of multi-hadron dynamics are a crucial goal for lattice QCD calculations. Significant progress has been achieved in developing, implementing and applying theoretical tools that connect finite-volume quantities to their infinite-volume counterparts. In this talk, I will review some recent theoretical developments and numerical results regarding multi-particle...

I review the recent progresses on lattice calculations of hadron spectroscopy and interactions. The methods to precisely determine the energy eigenstates on lattice and subsequently extract the scattering information have been matured in the last years. After briefly introduce the methodology, I present the new results in the last couple of years, focus will be the results on the exotic...

The International Lattice Data Grid (ILDG) started almost 20 years ago as a global community initiative to enable and coordinate sharing of gauge configurations within the lattice QCD community. We outline the basic ideas of ILDG and explain the urgent need to fully support the meanwhile established FAIR data management practices. We will report on recent activities within the ILDG and on...

The emergence of a strongly coupled ultraviolet fixed point as 4-dimensional fermion-gauge systems cross into the conformal window has long been hypothesized. Using an improved lattice actions that include heavy Pauli-Villars (PV) type bosons I show that an SU(3) system with 8 fundamental flavors described by two sets of staggered fermions has a smooth phase transition from the weak coupling...

We use exact diagonalization to study quantum chaos in a simple model with two bosonic and one fermionic degree of freedom. Our model has a structure similar to the BFSS matrix model (compactified supersymmetric Yang-Mills theory), and is known to have a continuous energy spectrum. To diagnose quantum chaos, we consider energy level statistics and the out-of-time-order correlators (OTOCs). We...

The last two decades witness the discovery of tens of hadronic structures beyond the expectations of the traditional quark model. They are candidates of exotic hadrons. Many of these structures are close to the thresholds of a pair of hadrons, and thus allow for an EFT treatment. In this talk, I will give an overview of the understanding of such resonances, covering positive-parity heavy...

The past decade has seen rapid developments in flavour physics, in particular driven by the LHCb experiment. A wealth of heavy-hadron states have been discovered, with some of them not fitting in the conventional meson-baryon classification scheme. Precision studies of beauty and charm hadron decays have not only improved our understanding of the flavour structure of the Standard Model, but...

One major systematic uncertainty of lattice QCD results is due to the continuum extrapolation to extract the continuum limit at lattice spacing $a\searrow 0$. For an asymptotically free theory like QCD one finds corrections of the form $a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$, where $n_\mathrm{min}$ is a positive integer and $\bar{g}(1/a)$ is the running coupling at...

Simulating QCD in the traditional way on very large lattices leads to conceptual and technical issues with impact on performance and reliability. In view of master-field simulations, introduced at Lattice 2017, simulations with dynamical fermions are particularly challenging and require additional stabilising measures to reach physical point lattices without compromising the quality of the...

The Hubbard model is an important tool to understand the electrical properties of various materials. More specifically, on the honeycomb lattice it is used to describe graphene predicting a quantum phase transition from a semimetal to a Mott insulating state. In this talk I am going to explain two different numerical techniques we employed for simulations of the Hubbard model: The Hybrid Monte...

The talk will review recent algorithms that are enabling state-of-the-art lattice QCD simulations. We will begin with an overview of the developments that have been crucial in simulating fermions at physical quark masses and fine lattice spacings. This will include an overview on iterative linear solver methods, such as multi-grid methods, and challenges arising from large scale Markov-chain...

The first step in any QFT calculation of a phenomenological observable is the matching of the theory to Nature. The matching procedure fixes the parameters of the theory in terms of an equal number of external inputs that, if the theory is expected to reproduce observations, must be experimentally measured physical quantities. At the (sub)percent level of accuracy QED radiative corrections...