Gjesteforelesninger, seminarer og konferanser
Welcome to the conference on Stochastics of Environmental and Financial Economics. The conference will bring together leading researchers in the fields of stochastic analysis and finance to discuss recent developments and challenges with an edge towards energy, environmental and financial markets.
Abstract: We show that the discrete duals of the so called free orthogonal quantum groups have the completely contractive approximation property, analogous to the free groups. The proof relies on the structure of representation categories of these quantum groups, on the C*-algebraic structure of SUq(2), and on the free product techniques of Ricard and Xu. This talk is based on joint work with Kenny De Commer and Amaury Freslon.
Andrea Hofmann, Høgskolen i Østfold, gives the Seminar in Algebra and Algebraic Geometry:
Abelian varieties IV
Jeg vil vise hvordan Segalformodningen kan omformuleres, ved hjelp av Tatekonstruksjonen, norm-restriksjonssekvensene, Warwick dualitet og Adams' transferekvivalens, til en form som lettere lar seg bevise v.h.a. den algebraiske Singerkonstruksjonen. Dette er det andre i en serie foredrag som sikter mot å gi et bevis for en versjon av Segalformodningen i motivisk homotopiteori.
Ørnulf Borgan (Department of Mathematics,UiO) gives a seminar
in room 107, 1st floor N.H. Abels House at 14:15 Tuesday September 23rd:
Using cumulative sums of martingale residuals for model checking in nested case-control studies
Variational integrators for interconnected Lagrange-Dirac dynamical systems
Generalized barycentric coordinates and applications
The two-day workshop on "Stochastics and Risk for Energy Markets" will consist of an intensive course on energy markets provided by Professor Rudiger Kiesel from University of Essen-Duisburg, as well as several invited talks. The workshop aims at bringing together practitioners from the energy and finance industry with researchers from academia.
Motivert av Atiyah og Segals kompletteringsteorem for ekvivariant topologisk K-teori formulerte Graeme Segal en tilsvarende formodning om ekvivariant stabil kohomotopi. Jeg vil minne om hva teoremet og formodningen sier, og vise hvordan Segalformodningen kan omformuleres, ved hjelp av norm-restriksjonssekvensene, til en form som lettere lar seg bevise v.h.a. den algebraiske Singerkonstruksjonen. Tanken er at dette skal være det første av en serie foredrag som sikter mot å gi et bevis for en versjon av Segalformodningen i motivisk homotopiteori. Dette var temaet for Thomas Gregersens PhD-avhandling fra 2012.
Arne B. Sletsjøe, UiO, gives the Seminar in Algebra and Algebraic Geometry:
Abelian varieties III
Abstract: Independence has been introduced as a regularity property for pairs of commuting injective group endomorphisms of a discrete abelian group with finite cokernel by Joachim Cuntz and Anatoly Vershik. We discuss various characterisations of this regularity property and show how the statements need to be adjusted when removing the restrictions that the group has to be abelian and that the cokernels have to be finite. Somewhat surprisingly, this leads to the concept of *-commutativity. This property is defined for pairs of commuting self-maps of an arbitrary set. As an examples of *-commutativity, we explain a construction related to the Ledrappier shift and indicate how one obtains examples for independent group endomorphisms from this construction. If time permits, we will point out instances where the two notions have been readily used to obtain C*-algebraic results. Roughly speaking, both notions are designed to give rise to pairs of doubly commuting isometries, which significantly simplifies the analysis of the constructed C*-algebras. This is particularly useful when one tries to generalise results from the case of a single transformation to an action generated by finitely many transformations.
Fredrik Meyer, UiO, gives the Seminar in Algebra and Algebraic Geometry:
Abelian varieties II
Parabolic optimal control problems with pointwise controls
Arvid Siqveland, Høgskolen i Buskerud og Vestfold, gives the Seminar in Algebra and Algebraic Geometry:
Abelian varieties I
The logic seminar will take place in B63 in NHA on Thursdays from 10.15 to 12.00.
The program is tentative. There are free slots in the program. Contact Dag Normann for suggestions or questions.
Jocelyne Bion-Nadal (CNRS and Ecole Polytechnique) holder et seminar med tittelen: Martingale problem for integro-differential operators with path dependent coefficients
Per A. Mykland (The University of Chicago) og Lan Zhang (University of Illinois at Chicago) give a seminar in Auditorium 4, Vilhelm Bjerknes house, at 14:15, Tuesday June 17th: Assessment of Uncertainty in High Frequency Data: The Observed Asymptotic Variance
If B is a sub-Hopf algebra of the mod 2 Steenrod algebra, the category of B-modules has subcategories of modules local or colocal with respect to certain Margolis homologies, and corresponding localization and colocalization functors. The Picard groups of these subcategories are sufficient to detect the Picard group of the whole category and contain modules of geometric interest. General results obtained along the way allow us to begin to attack the analogous questions for E(2) and A(2)-modules. Applications include better descriptions of polynomial algebras as modules over the Steenrod algebra, and of the values of certain generalized cohomology theories on the classifying spaces of elementary abelian groups.
Gary Kennedy, Ohio State University, gives the Seminar in Algebra and Algebraic Geometry:
Convex bodies associated to spherical varieties
Eduardo Esteves (IMPA, Rio de Janeiro), gives the Seminar in Algebra and Algebraic Geometry:
Compactified Jacobians of nodal curve and limit linear series
Diana Domanska (University of Silesia) gives a seminar in Auditorium 4, Vilhelm Bjerknes house, at 14:15, Tuesday June 10th:
Abstract: We talk about independent resolutions for dynamical systems on totally disconnected spaces. Building on earlier work by Cuntz, Echterhoff and Li that allows one to compute the K-theory of totally disconnected systems that admit a so called independent invariant regular basis, we show how any totally disconnected dynamical system admits a resolution of such systems, which in some cases allows for K-theory computations. Based on work by me and X. Li.
Marco Matassa (UiO) will give a talk with title: On dimension and integration for spectral triples associated to quantum groups
Abstract: Abstract: I will discuss some aspects of the notions of spectral dimension and non-commutative integral in the context of modular spectral triples. I will focus on two examples: the modular spectral triple for SU_q(2) introduced by Kaad and Senior and the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dąbrowski.
This years Skolem Lecturer lecturer is professor Kit Fine, from New York University. Fine is known for his work in logic, the philosophy of language and metaphysics.
Jens Kaad (Trieste), will give a talk with title "Joint torsion line bundles of commuting operators"
In this talk I’ll associate a holomorphic line bundle to any commuting tuple of bounded operators on a Hilbert space. The transition functions for this bundle are given by the joint torsion which compares determinants of Fredholm complexes. The joint torsion is an invariant of the second algebraic K-group of the Calkin algebra (bounded operators modulo trace class operators). The main step is to prove that the transition functions for the joint torsion line bundle are indeed holomorphic. This is carried out by studying the Quillen-Freed holomorphic determinant line bundle over the space of Fredholm complexes. In particular I will construct a holomorphic section of a certain pull-back of this bundle. The talk is based on joint work with Ryszard Nest.