### Real Time Imaging of Quantum and Thermal Fluctuations

Denis Bernard
Tremendous progresses have been achieved in the last decade in realising and manipulating stable and controllable quantum systems, and these made possible to experimentally study fundamental questions posed in the early days of quantum mechanics. We shall theoretical discuss recent cavity QED experiments on non- demolition quantum measurements. While they nicely illustrate postulates of quantum mechanics and the possibility to implement efficient quantum state manipulations, these experiments pose a few questions such as: What does...

### From the Göttingen Fabry-Perot Interferometer to the Gregor FPI (presentation in 2006)

Klaus Gerhard Puschmann
Presentation in the frame of the Workshop Modern Solar Facilities - Advanced Solar Sience held in Göttingen from 27 - 29 September 2006. Fabry-Perot Interferometers (FPIs) have advantages over slit spectrographs, allowing fast two-dimensional, narrowband imaging and post factum image reconstruction of the spectropolarimetric data obtained. The resulting intensity, velocity and magnetic field maps are a fundamental base for the understanding of the dynamics of the solar atmosphere and its magnetic fields at smallest spatial...

Jürg Fröhlich

### An overview of the topological recursion

Bertrand Eynard
The "topological recursion" defines a double family of "invariants" $W_{g,n}$ associated to a "spectral curve" (which we shall define). The invariants $W_{g,n}$ are meromorphic $n$-forms defined by a universal recursion relation on $|\chi|=2g-2+n$, the initial terms $W_{0,1}$ and $W_{0,2}$ being the canonical 1-form and 2-form on the spectral curve. Those invariants have fascinating mathematical properties, they are "symplectic invariants" (invariants under some symplectic transformations of the spectral curve), they are almost modular forms, they satisfy...

### Shimura varieties with infinite level, and torsion in the cohomology of locally symmetric spaces

Peter Scholtze
Shimura varieties with infinite level, and torsion in the cohomology of locally symmetric spaces. We will discuss the p-adic geometry of Shimura varieties with infinite level at p: They are perfectoid spaces, and there is a new period map defined at infinite level. As an application, we will discuss some results on torsion in the cohomology of locally symmetric spaces, and in particular the existence of Galois representations in this setup.

### JCMT and the East Asia Observatory

Michael Burton
An overview of the James Clerk Maxwell Telescope on Mauna Kea, Hawaii and the East Asia Observatory

### Scientific Audiovisual Materials and Linked Open Data

Paloma Marín Arraiza
Libraries are starting to use Linked Open Data (LOD) to provide their data (library data) for reuse and to enrich them. However, most initiatives are only available for textual resources, whereas non-textual resources stay aside. Firstly, this paper discusses the potential of library data to be published as LOD. Secondly, it focuses on the library data related to the management of audiovis-ual scientific materials in the TIB|AV-Portal. The use LOD Standards to support multilingual func-tionalities...

### 3/6 Nilsequences

Ben Green
Classical Fourier analysis has found many uses in additive number theory. However, while it is well-adapted to some pro - blems, it is unable to handle others. For example, if one has a set A, and one wishes to know how many 3-term arithmetic progressions are contained in A, then Fourier analysis is useful, but if one wishes to count 4-term progressions then it is not. For this, and other, problems the more general notion...

### 5/6 Nilsequences

Ben Green
Classical Fourier analysis has found many uses in additive number theory. However, while it is well-adapted to some pro - blems, it is unable to handle others. For example, if one has a set A, and one wishes to know how many 3-term arithmetic progressions are contained in A, then Fourier analysis is useful, but if one wishes to count 4-term progressions then it is not. For this, and other, problems the more general notion...

### 2/3 Supersymmetric Vacua and Integrability

Samson Shatashvili
"I review the relationship between supersymmetric gauge theories and quantum integrable systems. From the quantum integrability side this relation includes various spin chains, as well as many well-known quantum many body systems like elliptic Calogero-Moser system and generalisations. From the gauge theory side one has supersymmetric gauge theories with four (and eight) supercharges in various space-time dimensions (compactified to two-dimensions, or in Omega-background). Gauge theory perspective provides the exact energy spectrum of corresponding quantum integrable...

### 15 Even More Probe Diffusion

George Phillies
Lecture 15 - more on probe diffusion. Lectures are based on my book "Phenomenology of Polymer Solution Dynamics", Cambridge University Press 2011.

### 24 Linear viscoelasticity

George Phillies
Lecture 24 - Linear viscoelasticity. George Phillies lectures on polymer dynamics based on his book "Phenomenology of Polymer Solution Dynamics".

Denis Bernard

Minoru Wakimoto

### Where does quantum field theory come from?

Daniel Friedan
This will be an interim report on a long-running project to construct a mechanism that produces spacetime quantum field theory; to indentify possible exotic, non-canonical low- energy phenomena in SU(2) and SU(3) gauge theories produced by this mechanism; and to calculate signals of these phenomena to see if they can be used to check whether the proposed mechanism operates in the real world. The last effort is still ongoing.

### 4/4 Singular support of coherent sheaves

Dennis Gaitsgory
Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference between "coherent" and "perfect" is responsible for the appearance of Arthur parameters in the context of geometric Langlands correspondence.

### 1/4 Singular support of coherent sheaves

Dennis Gaitsgory
Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference between "coherent" and "perfect" is responsible for the appearance of Arthur parameters in the context of geometric Langlands correspondence.

Valentin Blomer

### 1/4 Trace functions over finite fields

Kowalski Emmanuel

Harald Helfgott

Etienne Fouvry

Andrew Granville

### 2/4 Motivic periods and the cosmic Galois group

Francis Brown
In the 1990's Broadhurst and Kreimer observed that many Feynman amplitudes in quantum field theory are expressible in terms of multiple zeta values. Out of this has grown a body of research seeking to apply methods from algebraic geometry and number theory to problems in high energy physics. This talk will be an introduction to this nascent area and survey some recent highlights. Most strikingly, ideas due to Grothendieck (developed by Y. André) suggest that...

### New draft item

Gautier Laurent, Laurent Ailleres, Lachlan Grose & Robin Armit
This presentation demonstrates the classic approach to implicit modelling of geology and it's limitations. Instead a implicit model schema has been developed to better utilise structural observations to model folded and poly-deformed terranes

### Osmium: helping PMR support the VPH requirements for identifiable and discoverable computational models

David Nickerson, Tommy Yu & Peter Hunter
Presentation delivered at COMBINE 2016, providing a historical view of how the Physiome Model Repository has evolved over the years. Leading to the current Osmium project.

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• Audiovisual
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