Conveners
Invited lectures
- Marcela Hanzer (Department of Mathematics, Faculty of Science, University of Zagreb)
Invited lectures
- Krešimir Burazin
Invited lectures
- Bojan Basrak
Invited lectures
- Ljiljana Arambasic
Invited lectures
- Marko Vrdoljak (University of Zagreb, Faculty of Science, Department of Mathematics)
Invited lectures
- Ilja Gogić (University of Zagreb)
Invited lectures
- Danijel Grahovac
Invited lectures
- Zlatko Drmač
Invited lectures
- Ivan Slapničar (University of Split, FESB)
Invited lectures
- Hrvoje Šikić (University of Zagreb)
Invited lectures
- Davor Dragičević
Invited lectures
- Filip Najman (University of Zagreb)
Invited lectures
- Vlada Limić (CNRS and Universite de Strasbourg)
Invited lectures
- Felix Otto
We consider principal subspaces and Feigin-Stoyanovsky's type subspaces associated with integrable highest weight modules of affine Kac-Moody Lie algebras. By using the quasi-particle bases of principal subspaces, we construct combinatorial bases of the standard modules of rectangular highest weights and their parafermionic spaces for twisted affine Lie algebras. From quasi-particle bases, we...
Superpositions of Ornstein-Uhlenbeck type processes (supOU) provide a rich class of stationary stochastic processes for which the marginal distribution and the dependence structure may be modeled independently. Limit theorems will be presented both for the finite and infinite variance integrated supOU processes. Moreover, it will be shown that integrated supOU processes may exhibit a...
Over the last few decades, shape optimization techniques have undergone significant development and have become reliable tools in many applications. However, in some applications the available data are not fully known, and the optimal shapes may show a strong dependence on these parameters. The effects of such variabilities can be analyzed by introducing multiple state variants of the problem....
In the talk I will provide an overview of how elementary properties known for the weak operator topology can be used to obtain new results in homogenisation. In particular, we shall demonstrate that nonlocal problems can be treated right away and that the gathered insights help to obtain continuous dependence results for time-dependent partial differential equations under mild conditions on...
A unital $C^*$-algebra $A$ is said to satisfy the Dixmier property if for each element $x\in A$ the closed convex hull of the unitary orbit of $x$ intersects the centre $Z(A)$ of $A$. It is well-known that all von Neumann algebras satisfy the Dixmier property and that any unital $C^*$-algebra $A$ that satisfies the Dixmier property is necessarily weakly central, that is, for any pair of...
In this talk, we discuss pure-jump Markov processes on smooth open sets whose jumping kernels vanishing at the boundary and part processes obtained by killing at the boundary or (and) by killing via the killing potential. The killing potential may be subcritical or critical.
This work can be viewed as developing a general theory for non-local singular operators whose kernel vanishing at the...
Randomized algorithms have gained significant attention in numerical linear algebra during the last decade. In particular, randomized sketching is used as a simple but effective technique in which a random matrix acts as a dimension reduction map: a problem that features a potentially large input matrix $A \in \mathbb{R}^{n \times n}$ is reduced to a smaller one by replacing $A$ with $A...
Determining the rank of an elliptic curve $E/\mathbb{Q}$ is a difficult problem. In applications such as the search for curves of high rank, one often relies on heuristics to estimate the analytic rank (which is equal to the rank under the Birch and Swinnerton-Dyer conjecture).
This talk discusses a novel rank classification method based on deep convolutional neural networks (CNNs). The...
A Hadamard matrix of order $n$ is a $n \times n$ $(-1, 1)$-matrix $H$ such that $HH^{\top} = n I_{n}$. In this talk, we are concerned with constructing doubly even self-dual binary codes from Hadamard matrices. More precisely, to a Hadamard matrix of order $8t$ we relate a doubly even self-dual binary code of length $8t$, and give explicit constructions of doubly even self-dual binary codes...
We first outline the application of energy methods to analyzing dynamics of semilinear partial differential equations, including exciting connections to geometry, optimisation, theory of inequalities, and others.
We then focus on developing the theory for equations on unbounded domains, by addressing the challenge that the classical energy function is not well defined. We consider a family...
In this talk, relying on Foster-Lyapunov drift conditions, we will discuss subexponential upper and lower bounds on the rate of convergence in the Lp-Wasserstein distance for a class of irreducible and aperiodic Markov processes. We will further discuss these results in the context of Markov Lévy-type processes. In the lack of irreducibility and/or aperiodicity properties, we will comment on...
The topic of finding point configurations in large subsets of the Euclidean space lies at the intersection of combinatorics, geometry, and analysis. Euclidean Ramsey theory tries to identify patterns that are present in every finite coloring of the space, while a part of geometric measure theory studies patterns in sets of positive measure or positive density (as opposed to...
Understanding the structure of parabolically induced representations is one of the most important tasks in the representation theory of classical p-adic groups. We will discuss recent results on this topic, and provide an overview of methods related to the determination of reducibility and identification of composition factors of representations obtain by the parabolic induction from...
A transversal in a $n \times n$ latin square is a set of $n$ entries not repeating any row, column, or symbol. A famous conjecture of Brualdi, Ryser, and Stein predicts that every latin square has at least one transversal provided $n$ is odd. We will discuss an approach motivated by the circle method from the analytic number theory which enables us to count transversals in latin squares...
