Department of Mathematics and Computer Science

Speaker: Ryan Cullinan (​University of York).Abstract: Integrable systems provide a pragmatic point in the landscape of physical theories. Such systems are characterised by their solvability, which is usually underpinned by the possession of an infinite-dimensional symmetry group, the existence of solitonic solutions, or admittance of an algebro-geometric description of the system.Given the abundance of models deemed ‘integrable’ in one of the aforementioned senses, it becomes essential to ask what universal characteristics these models share that enable their integrability. A systematic understanding of Lax integrability for integrable field theories in two dimensions was provided by the introduction of a topological holomorphic theory in four dimensions called four-dimensional Chern-Simons theory, which illuminates many of the superficially mysterious aspects of a system's integrability by describing the data of a two-dimensional integrable field theory in the language of four-dimensional gauge theory.In this talk, we will describe the refinements required to build on this paradigm by studying a topological-holomorphic theory in five dimensions called five-dimensional 2-Chern-Simons. The aforementioned theory is a 2-categorical generalisation of its four-dimensional counterpart, describing Lax integrable field theories in three dimensions via the medium of higher categorical gauge theory. Bringing together results from homotopical and homological algebra, Hodge theory, and the BV formalism, we will outline the subtleties in defining the theory and in attempting to chart this new landscape of 'higher Lax integrable' theories.

Maiken Westen Holm Svendsen defends her PhD thesis at a public lecture: “Mod en mere sammenhængende evalueringskultur i matematikfaget på HTX – STEM-forløb mellem læring, kompetence og viden”.The chairman of the assessment committee, Associate Professor Gitte Miller Balslev, will act as chairman at the defence.The PhD defence takes place in IMADA Conference Room (Ø18-509-2).All are welcome.

In connection with the annual general meeting (generalforsamling)  in the Danish Mathematical Society on March 26, we are  having a colloquium style lecture by Fabrice Baudoin (professor in Aarhus and the recipient of both an ERC Advanced grant and a Villum Investigator grant ), which I thought could be of interest to some of you.  Title: Analysis Without Smoothness: Laplacians and Heat Flow on Fractals Abstract: Fractals are geometric objects with intricate structure at every scale. Although they are easy to conceptualize, they are difficult to study analytically because they are non-smooth spaces: there are no tangent planes and no obvious notion of derivatives.Nevertheless, one can still develop key tools of analysis on fractals. In this talk I will explain how we construct analogues of the Laplacian and the heat equation on certain fractal sets. The main idea is to approximate the fractal by finite graphs, define energies and Laplacians on these discrete objects, and then pass to a limit. This approach leads to a notion of diffusion on fractals and naturally gives rise to Brownian motion adapted to their geometry. The resulting processes behave in ways that are strikingly different from diffusion in ordinary Euclidean space. The goal of the talk is to give a conceptual overview of how analysis can be developed even in the absence of smooth structure.

Meeting notice with time and agenda will be sent by email.

All staff at IMADA are invited to the Departmental Fora.Meeting notice and agenda will be sent by email.

Want to know what is going on behind the scenes at IMADA?Come and join us for 2 x 20 min. inspiring talks while you enjoy a free “casual after-work” beer with your fellow student, colleague or teacher.This time Associate Professor Emanuela Marchetti (Topic: Reviving the Renaissance  - Reconnecting computational and natural sciences to art and design, as experimental room) and Associate Professor Matthias Oliver Wilhelm (Topic: Machine Learning for Analytic Calculations in Theoretical Physics) will each spend 20 minutes each telling you about their current research.

The Cake Club is a new and cozy initiative that meets four times each semester with free coffee, cake, and great company.So whether you study AI, Applied Mathematics, Computer Science, Mathematics, or Mathematics-Economics, you are invited.Remember to bring your fellow students (lecturers are also welcome).The club meetings are held at the IMADA Forskertorv.You can read more in the Facebook group IMADA-students.

Speaker: Sara Maggio (​University of Bonn).Abstract: Feynman integrals associated with geometries beyond the Riemann sphere, such as elliptic and Calabi–Yau geometries, are playing an increasingly important role in modern precision calculations. They appear not only in collider cross sections, but also in gravitational-wave scattering. A powerful way to compute these integrals is through systems of differential equations, particularly when these can be brought into canonical form, making their singularity structure manifest. In this talk, I will present a method to construct canonical differential equations for multi-loop Feynman integrals beyond the polylogarithmic setting, with particular emphasis on Calabi–Yau examples. After introducing the method through the two-loop sunrise integral, I will show how it applies to the cutting-edge case of the three-loop multi-parameter banana integrals.

Speaker: David Jordan (​University of Edinburgh).Abstract: TBA

The Cake Club is a new and cozy initiative that meets four times each semester with free coffee, cake, and great company.So if you study Data Science, you are invited.Remember to bring your fellow students (lecturers are also welcome).The club meetings are held at the IMADA Forskertorv.You can read more in the Facebook group IMADA-students.

Speaker: Ondrej Hulik (Heidelberg University).Abstract: TBA

In this event we will look at how teaching can help spark students’ individual learning awareness and build engagement to help foster a strong learning community between our students.

In this event we will look at how teaching can help spark students’ individual learning awareness and build engagement to help foster a strong learning community between our students.

Katrine Bergkvist Borch defends her PhD thesis at a public lecture: “Fra monstrøs metode til didaktisk værdi: Æstetik, omsorg og naturbaserede læringsmiljøer i naturfagsundervisning?”.The chairman of the assessment committee, Associate Professor Michael Paulsen, will act as chairman at the defence.The PhD defence takes place in U221 (V16-700a-0).All are welcome.

Meeting notice with time and agenda will be sent by email.

All staff at IMADA are invited to the Departmental Fora.Meeting notice and agenda will be sent by email.

The Cake Club is a new and cozy initiative that meets four times each semester with free coffee, cake, and great company.So whether you study AI, Applied Mathematics, Computer Science, Mathematics, or Mathematics-Economics, you are invited.Remember to bring your fellow students (lecturers are also welcome).The club meetings are held at the IMADA Forskertorv.You can read more in the Facebook group IMADA-students.

The Cake Club is a new and cozy initiative that meets four times each semester with free coffee, cake, and great company.So if you study Data Science, you are invited.Remember to bring your fellow students (lecturers are also welcome).The club meetings are held at the IMADA Forskertorv.You can read more in the Facebook group IMADA-students.

Read more about the Department Council: https://sdunet.dk/en/enheder/institutter/imada/udvalg-og-moeder/institutraad

Meeting notice with time and agenda will be sent by email.

Mark your calendars and stay tuned – more info coming soon!

All staff at IMADA are invited to the Departmental Fora.Meeting notice and agenda will be sent by email.

Meeting notice with time and agenda will be sent by email.