Events - Page 5

Let X be a variety, and (F_n) a sequence of coherent sheaves on the n-th symmetric products Sym^n X. Following Okounkov, we consider the notion of (F_n) being factorisable. Roughly speaking, this means that over points of Sym^(m+n) X corresponding to the union of disjoint configurations in Sym^m X and Sym^n X, the sheaf F_{m+n} is the tensor product of F_m and F_n. Completing a partial argument by Okounkov, we show that if (F_n) is factorisable, then the generating function of Euler characteristics of F_n is the plethystic exponential of a generating function of Euler characteristics of sheaves on X. I'll explain why this is true and why it's useful.

AI for sustainability and sustainable AI. On this occasion, we focus on sustainable AI with expert in economics, climate and energy research. The event is in the scopes of the Norwegian AI-Centre SURE-AI and intersects the interests of the Research Thematic Group Unruly Sustainability.

Doctoral candidate Giulia Monopoli at the Department of Mathematics will be defending the thesis AI Tools and Computational Modeling for Mitral Valve Disease: from Image-based Detection to Mechanistic Insights for the degree of Philosophiae Doctor.

Andrew is a postdoctoral researcher in Statistical Machine Learning at the University of Limerick, Ireland. His research interests centre on developing methods at the intersection of statistical modelling and machine learning. He completed his PhD in 2024 where his research focused on statistically-based methods for neural networks, with a particular focus on model selection and interpretation. After his PhD, he spent some time in the pharmaceutical industry, working on Phase 3 clinical trials in the immunology therapeutic area.

Kjetil Lysne Voje is a Norwegian evolutionary biologist and researcher at the Natural History Museum, University of Oslo. He earned a PhD in evolutionary biology from the Centre for Ecological and Evolutionary Synthesis at the University of Oslo. His research focuses on how new species form, how species are related through evolutionary “family trees,” and how quickly organisms adapt to environmental changes. In 2008–2009, he retraced the South American journey of Charles Darwin to celebrate the 150th anniversary of On the Origin of Species.

C*-seminar by Valerio Proietti (University of Oslo).

The distance matrix of a tree appears in a range of contexts, from phylogenetics to physical chemistry. I will describe a new result about the spectrum of this matrix, one that gives affirmative answer to two questions about matroid positivity properties. These are both strengthenings of Mason's conjectures about the log-concavity of sequence of numbers of independent sets of a matroid, proposed by Igor Pak and by Giansiracusa, Rincón, Schleis, Ulirsch, respectively.

At the heart is a characterization of the gross substitutes property from economics in terms of the Lorentzian property of a generating function.

This is joint work with Federico Ardila-Mantilla, Sergio Cristancho, Chris Eur, June Huh, and Botong Wang.

Juliette Lacherez is a PhD candidate in the Théorie de la Matière Condensée group within Statistical Physics at Université de Bordeaux, working under the supervision of Thomas Salez and Yacine Amarouchène. Her research focuses on numerical approaches to complex physical systems, using simulations as a powerful tool to test theoretical models beyond experimental constraints. She primarily works with Langevin simulations to study nontrivial systems such as active swimmers in confined flows and colloids diffusing near deformable, fluctuating boundaries.

QOMBINE seminar by Jonas Eidesen (University of Oslo)

Anders Malthe-Sørenssen is a professor of physics. His research interests spans computational and statistical physics, the physics of geological processes, artificial intelligence and neuroscience. He has systematically studied how the frictional behavior of materials may depend on the contact history, for example, by demonstrating that the static coefficient of friction may depend on the acceleration of a block while coming to rest. More recently, he has addressed nano-scale frictional behavior for single contacts, sheets and metamaterials.

Olav Nikolai Breivik is a researcher at the Norwegian Computing Center, where he mainly works on applying statistical methodology to marine science, as well as other projects in applied statistics. He earned his Ph.D. in statistics from the University of Oslo under the supervision of Ida Scheel, Geir Storvik, Arne Bang Huseby and Bent Natvig.

Doctoral candidate Magnus Ørke at the Department of Mathematics will be defending the thesis 

A particle path perspective on scalar conservation laws 

Theory, numerics, and stochastic perturbations

for the degree of Philosophiae Doctor.

C*-seminar by David Jaklitsch (University of Oslo).

Ivar Svalheim Haugerud is a postdoctoral researcher at the Department of Mathematics, University of Oslo. His research interests lie at the interface of non-equilibrium thermodynamics, soft matter, and chemical physics. In his PhD work, he studied how simple chemical systems driven far from equilibrium can give rise to emergent, life-like behavior, with a particular focus on non-dilute mixtures, phase separation, and active droplets. Using a non-equilibrium thermodynamic framework, his work explored the interplay between phase separation and phenomena such as excitability, self-sustaining oscillations, oligomer sequence selection, and the replication of sequence information, with the aim of identifying minimal physical mechanisms relevant to the emergence of life.

Abstract: See part I.