# Seminars this semester

May 13 | Mon |
Natasha Ellison, Sara Hilditch, Elena Marensi, Alison Parton, Lizzie Sheppeck, Sarah Whitehouse, Sadiah Zahoor (University of Sheffield) | International Women in Mathematics Day |

10:00 |
LT-5 |
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May 13 | Mon |
Suzana de Souza e Almeida Silva (Technological Institute of Aeronautics, Sao Paulo) | Plasma Dynamics Group |

13:00 |
LT9 (Hicks Building) |
Lagrangian Coherent Structures: Overview and applications in solar physics | |

Abstract:Lagrangian coherent structures (LCS) is a newly developed theory which describes the skeleton of turbulent flows. LCS act as barriers in the flow, separating regions with different dynamics and organizing the flow into coherent patterns. This talk will introduce some concepts of LCT techniques as well as recent application to solar physics problems. |
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May 13 | Mon | Nuria Folguera Blasco (Crick Institute) | Mathematical Biology Seminar Series |

14:00 | Hicks F20 |
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May 14 | Tue |
Anna Krystalli / Alison Parton / Lyn Taylor (Sheffield / Sheffield / Phastar) | RSS Seminar Series |

16:00 |
LT 5 |
Putting the R in Reproducible Research / Cloud Computing with R / R Validation Hub Project | |

Abstract:R and its ecosystem of packages offers a wide variety of statistical and graphical techniques and is increasing in popularity as the tool of choice for data analysis in academia. In addition to its powerful analytical features, the R ecosystem provides a large number of tools and conventions to help support more open, robust and reproducible research. This includes tools for managing research projects, building robust analysis workflows, documenting data and code, testing code and disseminating and sharing analyses. In this talk we’ll take a whistle-stop tour of the breadth of available tools, demonstrating the ways R and the Rstudio integrated development environment can be used to underpin more open reproducible research and facilitate best practice. R has cemented itself as the language of choice for many a statistician and data scientist, but is often heckled as a sluggish competitor to the likes of python. This talk will discuss one avenue for maintaining the comfort and power of R (see Anna’s talk!) without having to wait days for your desktop analysis to complete. The foreach package is a set of functions that allow virtually anything that can be expressed as a for-loop as a set of parallel tasks. By registering a parallel backend through the doParallel package, you can speed up the run-time of your work by utilising the full capacity of your machine. I’ll introduce how to rewrite workflows to utilise the foreach approach and show how you can implement a parallel workflow on your own machine with doParallel. For a low-range machine, this will reduce your run-time by 4-fold and for those lucky few with high-range budgets you’ll receive something around 16-fold. So how about going one step further, and increasing to hundreds-fold? We can achieve this by using cloud computing services, taking the load away from your own machine. Cloud computing services have been seen to have a steep learning curve and this has led to many shying away from using such a useful resource. I’ll introduce you to the doAzureParallel package for R, create by Microsoft to bypass this learning curve and allow you to implement the foreach package in parallel in the cloud with only minor amendments to the R code that has been blighting you for months. To date, the use of R Software in the pharmaceutical industry has been relatively limited to exploratory work and not routinely used in regulatory submissions where SAS® Software is still favored. One of the difficulties in using R for submissions is being able to provide the regulators with appropriate documentation of testing and validation for the packages used. In June 2018 the R consortium granted funding for a PSI AIMS SIG initiative to create an online ‘R package validation repository’. With representatives from Abbvie, Amgen, Biogen, Eli Lilly, FDA, GSK, J&J, Merck, Merck KGaA, Novartis, PPD, PRA, Pfizer, Roche / Genentech, Syne qua non and the Transcelerate project, the ‘R Validation Hub’ team launched a free to access web site to host validation documentation and metrics for R packages (https://www.pharmar.org/). Although, the project is still in its early stages, we are looking to expand on the website content and encourage contribution of R metrics and tests for packages from all R-users. The talk will discuss what is meant by validation, how R differs to SAS, justify our approach to the validation issue and present the future capabilities of the website and how all R-users are set to benefit from the work. |
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May 15 | Wed | Martina Balagovic (Newcastle) | Pure Maths Colloquium |

14:00 | J11 | Quantum Yang Baxter equation, the reflection equation, and their universal solutions | |

Abstract:The quantum Yang Baxter equation arose in statistical mechanics around 1970 as the consistency condition for an interaction of two particles on a line. In the 1980s, Drinfled and Jimbo introduced quantum groups (deformations of universal enveloping algebras of Lie algebras), and showed that they allow a universal R matrix - an element constructed from the algebra, which systematically produces a solution of the quantum Yang Baxter equation in every representation of this algebra. In turn, this imposes a structure of a braided tensor category on representations of the quantum group (i.e. gives an action of the braid group of type A) and leads to the Reshetikhin-Turaev construction of invariants of knots, braids, and ribbons. Considering the same problem with a boundary (on a half line instead of a line) leads to the consistency condition called the (quantum) reflection equation, introduced by Cherednik and Sklyanin in the 1980s. I will explain how, in the joint work with S. Kolb, we use quantum symmetric pairs (Noumi, Sugitani, and Dijkhuizen; Letzter 1990s) to construct a universal K-matrix - an element which systematically produces solutions of the reflection equation. This gives an action of the braid group of type B, endowing the corresponding category of representations with a structure of a braided tensor category with a cylinder twist (as defined by T. tom Dieck, R. Haring-Oldenburg 1990s). |
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May 16 | Thu | Christopher Fallaize (Nottingham) | Statistics Seminar |

14:00 | LT E |
Unlabelled Shape Analysis with Applications in Bioinformatics | |

Abstract:In shape analysis, objects are often represented as configurations of points, known as landmarks. The case where the correspondence between landmarks on different objects is unknown is called unlabelled shape analysis. The alignment task is then to simultaneously identify the correspondence between landmarks and the transformation aligning the objects. In this talk, I will discuss the alignment of unlabelled shapes, and discuss two applications to problems in structural bioinformatics. The first is a problem in drug discovery, where the main objective is to find the shape information common to all, or subsets of, a set of active compounds. The approach taken resembles a form of clustering, which also gives estimates of the mean shapes of each cluster. The second application is the alignment of protein structures, which will also serve to illustrate how the modelling framework can incorporate very general information regarding the properties we would like alignments to have; in this case, expressed through the sequence order of the points (amino acids) of the proteins. |
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May 16 | Thu | Peter Wyper (University of Durham) | Plasma Dynamics Group |

16:00 |
Room K14 (Hicks Building) | Reconnection, Topology and Solar Eruptions | |

Abstract:The majority of free energy in the solar corona is stored within sheared magnetic field structures known as filament channels. Filament channels spend most of their life in force balance before violently erupting. The largest produce powerful solar flares and coronal mass ejections (CMEs), whereby the filament channel is bodily ejected from the Sun. However, a whole range of smaller eruptions and flares also occur throughout the corona. Some are ejective, whilst others are confined. Recently it has been established that coronal jets are also typically the result of a filament channel eruption. The filament channels involved in jets are orders of magnitude smaller than the ones which produce CMEs. In this talk I will start by considering these tiny, jet producing eruptions. I will introduce our MHD simulation model that well describes them and then discuss what jets can tell us about solar eruptions in general. Specifically, I will argue that many different types of eruption can be understood by considering two defining features: the scale of the filament channel and its interaction via reconnection with its surrounding magnetic topology. |
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May 17 | Fri |
Gong Show | Topology seminar |

16:00 | J11 | ||

May 30 | Thu | David Jess (Queen's University (Belfast)) | Plasma Dynamics Group |

14:00 |
Room LT10 (Hicks Building) |
Resonance Cavities: A wave amplification mechanism above highly magnetic sunspots | |

Abstract:The solar atmosphere provides a unique astrophysical laboratory to study the formation, propagation, and subsequent dissipation of magnetohydrodynamic (MHD) waves across a diverse range of spatial scales. The concentrated magnetic fields synonymous with sunspots allow the examination of guided magnetoacoustic modes as they propagate upwards into the solar corona, where they exist as ubiquitous 3-minute waves readily observed along loops, plumes and fan structures. While cutting-edge observations and simulations are providing insights into the underlying wave generation and damping mechanisms, the in-situ ampliﬁcation of magnetoacoustic waves as they propagate through the solar chromosphere has proved difﬁcult to explain. Here we provide observational evidence of a resonance cavity existing above a magnetic sunspot, where the intrinsic temperature stratification provides the necessary atmospheric boundaries responsible for the resonant amplification of these waves. Through comparisons with high-resolution numerical MHD simulations, the geometry of the resonance cavity is mapped across the diameter of the underlying sunspot, with the upper boundaries of the chromosphere ranging between 1300–2300 km. This brings forth important implications for next-generation ground-based observing facilities, and provides an unprecedented insight into the MHD wave modelling requirements for laboratory and astrophysical plasmas. |
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May 31 | Fri | Prof Yuanyong Deng (Director of Huairoi Observatory) (NAOC, CAS, China) | SP2RC seminar |

13:00 | LT09 |
The observational research and projects of solar physics in China | |

Abstract:In this presentation I will briefly introduce recent solar observation and related research in China. Up to now all these observations come from ground-based telescopes. In the near future, Chinese will have our first space solar observatory by the Advanced Space solar telescope (ASO-S). In addition to ASO-S, some other projects under development or proposed will also be introduced and discussed. |
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Jun 11 | Tue | Andreas Krug (Magburg) | Algebra / Algebraic Geometry seminar |

14:00 | J11 | Stability of Tautological Bundles on Symmetric Products of Curves | |

Abstract:Given a vector bundle E over smooth variety X, there is a natural way to associate a vector bundle, called tautological bundle, on the Hilbert scheme of points on X. In this talk, we will discuss stability of tautological bundles in the case that X is a curve. |
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Jun 18 | Tue | Tong Liu (Purdue) | Number Theory seminar |

14:00 | J11 | p-divisible groups and crystalline representations over relative base | |

Abstract:Let K be a p-adic field, it is known that p-adic Tate module of p-divisible group over O_K is crystalline representation with Hodge-Tate weights in [0, 1]. And conversely any such crystalline representation arise from a p-divisible group over O_K. In this talk, we discuss how to generalize this result to relative bases when O_K is replaced by more general rings, like, Z_p[[t]]. This is a joint work with Yong Suk Moon. |
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Jun 20 | Thu | Ioannis Kontogiannis (Leibniz-Institut für Astrophysik Potsdam, AIP) | |

10:00 | LT11 | Emergence of small-scale magnetic flux in the quiet Sun, observed from the photosphere to the corona | |

Abstract:We study the emergence and evolution of new magnetic flux in the vicinity of a quiet Sun network. We employ high-resolution spectropolarimetric, spectroscopic and spectral imaging observations from ground-based (Dutch Open Telescope) and space-born instruments (TRACE, Hinode, SoHO), which provided a multi-wavelength, tomographic view of the region from the photosphere up to the corona. Throughout its evolution, the region exhibited many of the phenomena revealed by recent simulations. The event starts with a series of granular-scale events, which follow the photospheric flow field and merge to form a small-scale magnetic flux system of the order of 1018 Mx. Spectropolarimetric inversions reveal an evolving, complicated pattern of horizontal and vertical magnetic field patches at the region between the main polarities. As the magnetic flux accumulates and the region expands, Doppler-shifted H-alpha absorption features appear above and at the crests of the structure, indicating an immediate interaction with the pre-existing, overlying magnetic field. Roughly 60 min after the region first emerged at the photosphere, a jet-like feature appeared in the chromosphere and a small soft X-ray bright point formed in the corona. The coronal brightening exhibited intense spatial and temporal variations and had a lifetime that exceeded one hour. EUV spectroscopy and DEM analysis revealed temperatures up to 106 K and densities up to 1010 cm-3. Even in the absence of a strong ambient magnetic field, small-scale magnetic flux emergence affects dramatically the dynamics and shape of the quiet Sun. |
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Jun 20 | Thu |
Ioannis Kontogiannis (Leibniz-Institut für Astrophysik Potsdam, AIP) | SP2RC seminar |

10:00 |
LT11 |
Emergence of small-scale magnetic flux in the quiet Sun, observed from the photosphere to the corona | |

Abstract:We study the emergence and evolution of new magnetic flux in the vicinity of a quiet Sun network. We employ high-resolution spectropolarimetric, spectroscopic and spectral imaging observations from ground-based (Dutch Open Telescope) and space-born instruments (TRACE, Hinode, SoHO), which provided a multi-wavelength, tomographic view of the region from the photosphere up to the corona. Throughout its evolution, the region exhibited many of the phenomena revealed by recent simulations. The event starts with a series of granular-scale events, which follow the photospheric flow field and merge to form a small-scale magnetic flux system of the order of 1018 Mx. Spectropolarimetric inversions reveal an evolving, complicated pattern of horizontal and vertical magnetic field patches at the region between the main polarities. As the magnetic flux accumulates and the region expands, Doppler-shifted H-alpha absorption features appear above and at the crests of the structure, indicating an immediate interaction with the pre-existing, overlying magnetic field. Roughly 60 min after the region first emerged at the photosphere, a jet-like feature appeared in the chromosphere and a small soft X-ray bright point formed in the corona. The coronal brightening exhibited intense spatial and temporal variations and had a lifetime that exceeded one hour. EUV spectroscopy and DEM analysis revealed temperatures up to 106 K and densities up to 1010 cm-3. Even in the absence of a strong ambient magnetic field, small-scale magnetic flux emergence affects dramatically the dynamics and shape of the quiet Sun. |
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Jul 2 | Tue | Evgeny Shinder (Sheffield) | |

15:00 | Hicks LT 2 | Geometry of Singularities | |

Jul 2 | Tue | Caitlin Buck (Sheffield) | |

15:30 | Hicks, LT2 | Maintaining Impact in Interdisciplinary Research | |

Jul 2 | Tue | Neil Dummigan (Sheffield) | |

16:30 | Hicks LT2 | Lattices and theta series | |