Gjesteforelesninger og seminarer - Side 35
Et Eilenberg-Mac Lane rom K(G,n) er bestemt av å ha homotopigruppe G konsentrert i dimensjon n (og 0 ellers), og representerer n-te kohomologi med koeffisienter i G opp til homotopi. Barkonstruksjonen på K(G,n) gir et nytt rom BK(G,n)=K(G,n+1) som selv er en topologisk gruppe. Diagonalen G--->GxG og multiplikasjonen GxG--->G induserer en multiplikasjon på mod p homologigrupper, og gjør denne til en koalgebraisk ring (eller Hopf algebra). Jeg vil konstruere en spektralsekvens av Hopf algebraer (bar spektralsekvensen) som beregner homologi av K(G,n+1) gitt homologi av K(G,n) (for homologiteorier med en Künneth-formel), og vil så beregne mod p-homologi av K(Z,3)=BK(Z,2) som Hopf algebra.
Professor Massimo Fornasier, from the Technical University of Munich, is visiting the department /CMA. This is his second lecture.
Professor Massimo Fornasier, from the Technical University of Munich, is visiting the department /CMA and he will give two guest lectures.
Martin Jullum (Department of Mathematics, UiO), gives a seminar in Auditorium 4, Vilhelm Bjerknes house, at 14:15, Tuesday March 4th:
Parametric or Nonparametric: The Focused Information Criterion Approach
Jan Martin Nordbotten (University of Bergen) will give a talk about
Finite volume methods for elasticity and poro-elasticity
Abstract: We introduce a new class of cell-centered finite volume methods for elasticity and poro-elasticity. This class of discretization methods has the advantage that the mechanical discretization is fully compatible (in terms of grid and variables) to the standard cell-centered finite volume discretizations that are prevailing for commercial simulation of multi-phase flows in porous media.
For a specific variant of the proposed discretization, we give an overview of a convergence proof in the setting of isotropic elasticity, and address from a theoretical perspective the issues of a discrete Korn's inequality and robustness with respect to locking. Furthermore, we give numerical results for both structured and unstructured grids for both elasticity and poro-elasticity. The talk concludes with an application to simulation of fractured and fracturing porous media.
Risk measures are set to quantify in terms of assets/money the amount of financial risk associated to a certain financial position. The purposes for such evaluations are many and interesting both from the investors perspectives and regulators. As example, these evaluations are important to quantify the amount of reserve that financial institutions, such as banks or insurance companies, have to set aside as hedging guarantee. In the recent years large attention is given towards convex and coherent risk measures.
A series of 10 lectures will be held by Prof. Giacomo Scandolo, Department of Mathematics, University of Verona (Italy), visiting scholar at our department.
The course is suggested to Master and PhD students in the area of Stochastic Analysis, Insurance, and Risk as well as practitioners in the area.
Torstein Nilssen (Universitetet i Oslo) holder et seminar med tittelen: Malliavin differentiability for a class of SDE's in Hilbert spaces.
A continuation of the previous talk.
Magnus Landstad will give a talk with title: Quantum groups from almost matched pairs of groups - the groupoid approach
Abstract: If G is a locally compact group with two closed subgroups H,K s.t. G=HK, then (H,K) is called a matched pair of subgroups. The construction of a quantum group from such a pair goes back a long time. We shall look at the more general case where the subgroups are almost matched (the complement of HK in G has measure 0), then a groupoid approach to the construction is very useful and many formulas are obtained for free.
I shall start with explaining the concepts needed (quantum groups, groupoids, etc) and then how the groupoid is constructed. Finally we shall look at the special case where G has a compact open subgroup.
This is joint work with A. Van Daele.
Dongho Chae (Chung-Ang University, Korea) will give a seminar talk entitled
On the self-similar blow-up for the compressible Euler equations
Abstract: The problem of finite time blow-up/global regularity of the 3D incompressible Euler equations is an outstanding problem in mathematical fluid mechanics. On the other hand, the scenario of self-similar type blow-up is a natural candidate of blow-ups in various nonlinear partial differential equations such as the porous medium equation and the nonlinear Schrödinger equations. We also mention that for the closely related incompressible Navier-Stokes equations the question of self-similar blow-up was raised by J. Leray in 1930, and was negatively answered by J. Necas, M. Ruzicka and V. Sverak in 1996. In this talk we present the progress of study during the last several years on the self-similar blow-up for the Euler equations.
Johanna Ridder (University of Oslo) will give a talk about
Analysis of a finite difference method for two-dimensional incompressible magnetohydrodynamics
Abstract: We consider the magnetohydrodynamics equations for a viscous incompressible resistive fluid in two dimensions. For these equations we analyse a semi-discrete finite difference scheme that is based on a staggered grid and is energy preserving. We show an a priori H^1-bound and the convergence of the scheme.
Professor B. Rajeev (India Statistical Institute, Bangalore) holder et seminar med tittelen: The Monotonicity Inequality on Hermite-Sobolev spaces.
In 1980 R. W. Thomason published a proof that CAT, the category of small categories, is a proper closed model category that is Quillen equivalent to SSet, the category of simplicial sets, with the standard model structure defined by Quillen. D-C Cisinski has since corrected the proof of left properness by replacing the central term of Dwyer morphism - a class of morphisms that Thomason believed to be the cofibrations - with a rough analogue in CAT of the NDR-pairs. The cofibrations, then, which are all retracts of Dwyer morphisms, are really the NDR-pair analogues. I will go through the main parts of Thomason's argument, incorporating Cisinski's adjustment, point out Thomason's mistake and here and there use more recent terminology from M. Hovey's book Model Categories. Towards the end I'll compare Thomason's method with modern, standardized ways of confirming a cofibrantly generated (closed) model structure, like the necessary and sufficient conditions listed in Hovey's Model Categories (thm. 2.1.19) and transferring a model structure across an adjunction by using Kan's lemma on transfer and similar results
Antoine Julien (NTNU) will give a talk with title: Tiling spaces, groupoids and K-theory
Abstract:
In this talk, I will describe how spaces, groupoids and C*-algebras can be associated with aperiodic tilings. In some cases, it is possible to describe the structure of the groupoid combinatorially in terms of augmented Bratteli diagrams. (joint work with Jean Savinien) Time permitting, I will expose a strategy for computing the K-theory of the tiling algebra in terms of the K-theory of AF-algebras (work in progress).
David Ruiz Baños (University of Oslo) holder et seminar med tittelen: On the regularity of densities of SDE's. A classical solution to the stochastic transport equation
Jeonghun J. Lee (Aalto University, Helsinki) will give a talk about
On unified analysis of mixed methods for elasticity with weakly symmetric stress.
Abstract: We introduce a framework to construct and analyze mixed finite elements for elasticity with weakly symmetric stress. The framework is based on a connection between mixed methods for elasticity and mixed methods for Stokes equations. We show that some new finite elements can be obtained from it with optimal error bounds.
Rajib Dutta (University of Oslo) will give a seminar talk on
Operator splitting methods for Benjamin-Ono (BO) equation
Abstract: We consider the BO equation which describes one-dimensional internal waves in deep water. In this talk, we show that both Godunov and Strang splitting methods converge with the expected rates if the initial data are sufficiently smooth. We also present a proof of convergence of a fully discrete finite difference scheme for this equation.
Takuya Takeishi, University of Tokyo, will give a talk with title: Bost-Connes system for local fields of characteristic zero
Abstract: The Bost-Connes system, which describes the relation between quantum statistical mechanics and class field theory, was first constructed by Bost and Connes for the rational field, and generalized for arbitrary number fields by the contribution of many researchers. In this talk, we will introduce a generalization of the Bost-Connes sysmtem for local fields of characteristic zero, and introduce some properties.
Prof. Dr. Stefan Ankirchner (University of Bonn) holder et seminar med tittelen: The Skorokhod embedding problem for homogeneous diffusions and applications to stopping contests
The 14th Annual Winter School of eVITA/SINTEF will be held January 19-24th 2014 in Geilo. The topic for the 2014 school is Big data challenges to modern statistics, with several internationally renowned experts giving a series of lectures on the subject. Read more on the SINTEF website of the winter school (external link).
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.
Hanna Zdanowicz (Univeritetet i Oslo) holder et seminar med tittelen: Pricing of energy spread options by Fourier transform
Giuseppe Coclite, University of Bari.
In this lecture we consider a model for the harvesting of marine resources, described by a parabolic equation. Since the cost functionals have sublinear growth with respect to the pointwise intensity of fishing effort, optimal solutions are in general measure-valued. For the control problem, we prove the existence of optimal strategies. The results were obtained in collaboration with Professor Mauro Garavello.
A General Framework for Implementing Conservation-law Solvers
Dr. Benjamin Holcblat (BI Norwegian Business School) holder et seminar med tittelen: A Classical Moment-Based Approach with Bayesian Properties: Econometric Theory and Empirical Evidence from Asset Pricing