Invited minicourse (8 hours) at the International doctoral school in complex analysis KAWA-4, Toulouse, Francija
B.04 Guest lecture
COBISS.SI-ID: 16568921Invited lecture at the high level international symposium in the series Abel Symposia in Pure Mathematics
B.04 Guest lecture
COBISS.SI-ID: 16663897Invited lecture at a high level international symposium
B.04 Guest lecture
COBISS.SI-ID: 16949593One of the motivations for the definition of the Morita category of topological groupoids is the correspondence between the groupoid principal bundles and the geometric morphisms between the associated Grothendieck topoi of sheaves on groupoids. We discuss the relation between these geometric morphisms and the bimodules over the convolution algebras associated to the groupoids. In fact, we describe the Morita category of convolution algebras which is equivalent to the Morita category of etale Lie groupoids.
B.04 Guest lecture
COBISS.SI-ID: 15548249In this paper we construct a new Lax pair for the Klein-Gordon equation. The structure algebra of this Lax pair is the algebra $\mathcal{TA}_2$ of upper triangular Toeplitz block matrices with $\mathfrak{su}(2)$ blocks. For the suitable choice of the values of the spectral parameter, the integrals of motion, obtained from the holonomy of the spatial part of the Lax pair, have simple expressions in terms of the Fourier data. We compare these integrals to the corresponding integrals of the sine-Gordon system.
B.03 Paper at an international scientific conference
COBISS.SI-ID: 16406105