Department of Mathematics and Computer Science

Speaker: Martin Plávala (University of Siegen) Abstract: We review recent results on tensor products of the ordered vector spaces: we show that the tensor product is almost never uniquely defined due to the existence of entanglement between any non-classical (non-simplical) cones, and we present a hierarchy of convex optimization programs that aim to determine whether a given vector is entangled or not. We then apply these abstract mathematical results to two problems in quantum information: semi-device independent certification of Schmidt rank and semi-device independent certification of number of incompatible measurements, where we obtain hierarchies of outer approximation by semi-definite programming problems. Moreover we show that these outer approximations yield bounds that are relevant for potential experimental implementations. Finally we discuss other applications of the presented abstract hierarchies to problems in quantum information and other fields.

Speaker: Erik Donovan Hedegård Department of Physics, Chemistry and Pharmacy University of Southern Denmark Abstract: Transition metals in biological systems pose a formidable challenge in modern quantum chemistry. Unfortunately, these metals are close to everywhere in biological systems. For instance, about one-third of all enzymes contain a transition metal. The main issues when dealing with transition metals are (i) the metal typically demands so-called complete active space (CAS) methods with billions of electron configurations included. This quickly becomes computationally costly. (ii) Relativistic effects can be sizable. Addressing these effects also becomes computationally demanding. (iii) The relevant chemistry usually occurs in a surrounding solvent or within a protein environment that also needs to be taken into account, both in terms of the nuclear dynamics as well as the electronic interactions between the metal and the environment. In this talk, we demonstrate how challenges (i)–(iii) can be tackled efficiently and accurately. We discuss how this allows us to understand a part of the global carbon cycle, enzymes that can boost the production of biofuel, and new drugs against cancer. Location: D-IAS Aud. (V24-501a-0), Danish Institute for Advanced Study - DIAS. The event is open to all.

Speaker: Nadia Ott (University of Southern Denmark) Abstract: I will give an introductory talk on supermanifolds, super Riemann surfaces, and supermoduli space, starting with the definitions of these objects. I will then introduce a current area of research in supergeometry, super period matrices, and state two famous results in the field: Donagi and Witten’s proof that supermoduli space is not split for genus g ≥ 5, and D’Hoker and Phong’s calculation of the genus g = 2 superstring amplitude.

Speaker: Nadia Ott (University of Southern Denmark) Abstract: D’Hoker and Phong’s calculation of the genus g = 2 superstring amplitude uses, in a crucial way, a projection from genus g = 2 supermoduli space to its underlying reduced space. They define this projection using a formula for the genus g = 2 super period matrix. Witten generalized their formula for the super period matrix to higher genus g and found that the super period matrix may develop a pole along a particular divisor in supermoduli space if g ≥ 11. This divisor is commonly called the bad divisor. Witten also considered super period matrices on super Riemann surfaces with a nonzero number of Ramond punctures (note: the word puncture is a bit of a misnomer). He found that in the presence of Ramond punctures, a closed one form has, in addition to the usual 2g ”even” periods (defined by integrals over one cycle in homology), 2r fermionic periods. The fermionic periods of one form w are certain constants appearing in the restriction of w to the Ramond divisor. In joint work with Ron Donagi, we identify the 2r fermionic periods of w with the residues of a particular global section of the twisted spin structure on the underlying curve. As in the unpunctured case, the super period matrix with Ramond punctures may develop a singularities as we vary over supermoduli space. Using this identification of the fermionic periods in terms of residues, we explicitly describe this bad locus in supermoduli space.

Speaker: Ron Donagi (University of Pennsylvania) Abstract: TBA

Johannes T. Hadsund defends his PhD thesis: “Deep Learning in Immunoinformatics”.  Associate Professor Veit Schwämmle will act as chairman at the defence. The PhD defence takes place in IMADA’s Conference room (Ø18-509-2)

Speaker: Manuel Meyer Department of Physics, Chemistry and Pharmacy University of Southern Denmark Abstract: TBA Location: D-IAS Aud. (V24-501a-0), Danish Institute for Advanced Study - DIAS. The event is open to all.

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. Speakers will be announced ASAP, but mark your calendar now!

Join the EuroVis 2024 Conference Where Words Fail, Visualization Speaks and explore the world of data visualization and collaborate with experts in this vibrant field. Don’t miss this opportunity to expand your knowledge and connections in the world of visualization! Read more: https://www.eurovis.org/eurovis/conference

We end the academic year at IMADA with strawberry cake, wine, water, beer, snacks and lots of summer mood 😃! Read more on Facebook.

Explore planning and scheduling solutions at MAPSP 2024 in Kolding, Denmark. Join us for insightful discussions on theoretical and practical aspects!