Jun 15 (Mon)
10:00 MCS2050 E&PJake Scott, Yuna Li, and Liam Siggs (Durham): Exploring Mathematics Education Research through Project III
13:00 MCS3070 ApplStefan Ruschel (Nottingham): Network dynamics driven by time-delay plasticity
I will motivate a framework for collective frequency selection and attractor formation by means of delay plasticity. Specifically, I will consider adaptive axonal delays (AADs), motivated by activity-dependent myelination in the brain which regulates signal propagation speeds and thus communication delays. I will demonstrate frequency selection and explosive network relaxation oscillations in systems of delay-coupled phase oscillators with AADs on brain connectivity data and fully coupled ring networks.
Venue: MCS3070 (MAGIC room)
14:00 MCS2068 ASGDon Zagier (MPIM Bonn, ICTP Trieste): Modular forms, mock modular forms, and quantum modular forms (Part 3)
In this series of three talks I want to give an introduction into the wonderful world
of modular forms. These are special functions with huge symmetry groups that are
all-pervasive in modern mathematics and theoretical physics. It has even been
said -- indeed, I may have said it myself -- that "modular forms are everywhere". The
first lecture, on the many connections between modular forms and differential equations,
is meant for a general audience, including applied mathematicians and mathematical
physicists, while the two other talks will introduce more general types of modular
objects that have emerged in recent years in contexts ranging from the string theory
of black holes to the arithmetic properties of quantum invariants of knots. There will
be many examples in all the talks, and no prior knowledge will be assumed.
Venue: MCS2068
Jun 17 (Wed)
14:00 MCS2068 S&MJenny Pi (Oxford): Classifying (some) non-amenable C*-algebras
In the 2000s, Dykema and Radulescu proved that any infinite free product of amenable diffuse type II_1 factors is isomorphic to the von Neumann algebra of the free group with infinitely many generators. We discuss some work-in-progress on a C*-analogue of this fact. We obtain an interesting application to C*-superrigidity of groups. This is based on joint work-in-progress with Jakub Curda, Shanshan Hua, Gregory Patchell, Austin Shiner, and Stuart White, and inspired by recent work of Hirshberg and Phillips.
Venue: MCS2068
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Usual Venue: MCS3070
Contact: andrew.krause@durham.ac.uk
Jun 15 13:00 Stefan Ruschel (Nottingham): Network dynamics driven by time-delay plasticity
I will motivate a framework for collective frequency selection and attractor formation by means of delay plasticity. Specifically, I will consider adaptive axonal delays (AADs), motivated by activity-dependent myelination in the brain which regulates signal propagation speeds and thus communication delays. I will demonstrate frequency selection and explosive network relaxation oscillations in systems of delay-coupled phase oscillators with AADs on brain connectivity data and fully coupled ring networks.
Venue: MCS3070 (MAGIC room)
Usual Venue: MCS2068
Contact: herbert.gangl@durham.ac.uk
Jun 15 14:00 Don Zagier (MPIM Bonn, ICTP Trieste): Modular forms, mock modular forms, and quantum modular forms (Part 3)
In this series of three talks I want to give an introduction into the wonderful world
of modular forms. These are special functions with huge symmetry groups that are
all-pervasive in modern mathematics and theoretical physics. It has even been
said -- indeed, I may have said it myself -- that "modular forms are everywhere". The
first lecture, on the many connections between modular forms and differential equations,
is meant for a general audience, including applied mathematicians and mathematical
physicists, while the two other talks will introduce more general types of modular
objects that have emerged in recent years in contexts ranging from the string theory
of black holes to the arithmetic properties of quantum invariants of knots. There will
be many examples in all the talks, and no prior knowledge will be assumed.
Venue: MCS2068
Usual Venue: OC218
Contact: mohamed.anber@durham.ac.uk
For more information, see HERE.
No upcoming seminars have been scheduled (not unusual outside term time).
Usual Venue: MCS3052
Contact: andrew.krause@durham.ac.uk
Jun 15 10:00 Jake Scott, Yuna Li, and Liam Siggs (Durham): Exploring Mathematics Education Research through Project III
This talk will provide student reflections on the experience of working on an education-based project. Firstly, we will discuss our motivation for choosing this project, as well as the difference we perceived between this project and 'more traditional' mathematics projects. After this, we will briefly present the findings of our projects and will compare the routes we took to our completed reports. Finally, we will give our opinions on our projects by comparing it to what we have experienced in our other modules and to what we believe other students' project experiences were.
Venue: MCS2050
Jun 24 11:00 John Hunton (Durham): Please Sir, can we have some Moore?
RH Moore developed his method of teaching mathematics in the US, in the early part of the 20th century. It lives on in many places, with varying degrees of fidelity to the original ideas and versions of it are often referred to as Inquiry Based Learning (IBL). I first came across it when, working at the University of Leicester, a colleague joined us who had experience teaching a Moore Method course in Alabama. Together we concocted a second year module that while based on the Moore Method, was also adapted to fit the UK system, and moreover was suitable to teaching to an entire year group. The Leicester module then informed the second term content of the then new Durham Discrete Maths module, when I moved here. This talk will be part historical, part discussion of my experiences and observations, of the pros and cons of the Method and its adaptations, and hopefully will lead to some discussion of the topic with those present. One question that interests me is whether there is either scope or appetite for more IBL in the future Durham syllabus.
Venue: MCS2050
Usual Venue: MCS3070
Contact: joe.thomas@durham.ac.uk
Jun 17 14:00 Jenny Pi (Oxford): Classifying (some) non-amenable C*-algebras
In the 2000s, Dykema and Radulescu proved that any infinite free product of amenable diffuse type II_1 factors is isomorphic to the von Neumann algebra of the free group with infinitely many generators. We discuss some work-in-progress on a C*-analogue of this fact. We obtain an interesting application to C*-superrigidity of groups. This is based on joint work-in-progress with Jakub Curda, Shanshan Hua, Gregory Patchell, Austin Shiner, and Stuart White, and inspired by recent work of Hirshberg and Phillips.
Venue: MCS2068
