Gjesteforelesninger og seminarer - Side 31
Antoine Julien, NTNU, will give a talk with title: Links between cut-and-project tilings and Diophantine approximation
Abstract: Cut-and-project tilings are obtained by cutting a slice of a higher dimensional lattice and projecting it on a lower dimensional space. The result is a point set which is regular enough (since it originates from a lattice), but is not periodic, provided the direction of the slice is irrational in a suitable sense. In one dimension, typical examples of this construction are Sturmian subshifts. It is known that some of their dynamical properties depend on the arithmetic properties of a certain parameter. In this talk, I will recall some known results by Hedlund and Morse on Sturmian subshifts. Then, I will describe how, even in higher dimensions, the repetition properties of some cut-and-project sets can be linked to problems of simultaneous Diophantine approximation. This is joint work with A. Haynes, H. Koivusalo and J. Walton.
Kristian Ranestad, UiO, gives the Seminar in Algebra and Algebraic Geometry
EPW cubes
Felipe Rincon, UiO, gives the Seminar in Algebra and Algebraic Geometry
Positroids and the totally nonnegative Grassmannian
Audun Mathias Øygard (Master student, Dept. of Mathematics, UiO) will give a seminar in the lunch area, 8th floor N.H. Abel's House at 14:15 September 15th: Measuring similarity of classified advertisements using images and text, with applications to recommendation and search at finn.no
Felipe Rincon, UiO, gives the Seminar in Algebra and Algebraic Geometry
Tropical Ideals
Paul Krühner (TU Wien) holds a lecture with the title: Affine processes with compact state space and counter-examples for polynomial processes.
Nicolai Stammeier (Münster) will give a talk with title "Aiming for accuracy - boundary quotients of right LCM semigroups revisited "
Abstract: I will recall the notions of foundation sets and the boundary quotient for right LCM semigroups. This C*-algebra is obtained by modding out products of defect projections over foundation sets in the full semigroup C*-algebra of the right LCM semigroup. Observing that this is in stark contrast to the standard presentations of C*-algebras in the spirit of Cuntz algebras, where a summation relation gets used, we will discuss the possibility of replacing the product relation by a summation relation and arrive at the accurate refinement property. This feature turns out to be quite common among right LCM semigroups. In fact, we are yet to see an example of a right LCM semigroup that has an insufficient supply of accurate foundation sets. Time permitting, we will leave the realm of right LCM semigroups for the sake of finding semigroups without the accurate refinement property.
Valeria Vitelli (Dept. of Biostatistics, UiO) will give a seminar in room 801 (B81), 8th floor N.H. Abels House at 14:15 September 1st: Probabilistic preference learning with the Mallows rank model
Felipe Rincon, UiO, gives the Seminar in Algebra and Algebraic Geometry
An introduction to tropical geometry
The seminar will be at the same time and location as during the spring.
Andrey Pilipenko (Ukrainian National Academy of Sciences) gives a lecture with the title: Limits of Markov processes with irregular behavior at a fixed point.
Klaus Thomsen, Aarhus Universitet, Denmark, will give a talk with title "KMS states and ground states for generalized gauge actions on graph C*-algebras"
John Quigg, Arizona State University at Tempe, USA, will give a talk with title: Landstad duality and a theorem of Pedersen
Abstract:
In joint work with Steve Kaliszewski and Tron Omland, we show how a theorem of Pedersen characterizing exterior equivalent actions on a C*-algebra can be parlayed into an equivalence between two equivariant categories of C*-algebras. In one category, isomorphisms correspond to outer conjugacies of actions, while isomorphisms in the other category are equivariant isomorphisms of the crossed products that respect the generalized fixed point algebras. This category equivalence is a variation of Landstad's original characterization of actions up to equivariant isomorphism, where we now allow more morphisms. Time permitting, we will compare our "outer duality" with Landstad duality and also with Imai-Takai crossed-product duality.
Alfons van Daele (University of Leuven, Belgium) will give a talk with title: Constructing locally compact quantum groups from pairs of *-algebras
Abstract: Let (A,\Delta) be a finite-dimensional Hopf *-algebra. The dual B of A is again a finite-dimensional Hopf *-algebra. The entire structure of these two Hopf *-algebras is encoded in the *-algebras A and B and the pairing between the two. We will explain how this works. This is in fact true in many more, and more general situations. In particular, we give an example constructed from a pair of subroups H,K of a group G with the property that the map (h,k)-> hk is a bijection from HxK to G. This method is used in a joined paper with Magnus Landstad where we construct a pair of locally compact quantum groups from such pairs of subgroups of a locally compact group G.
Computable error estimates for Monte Carlo finite element approximation of elliptic PDE with lognormal diffusion coefficients
Adam Sørensen (UiO) will give a talk with title "Leavitt path algebras - a connection between pure algebra and operator algebras"
Abstract: We will discuss Leavitt path algebras, the purely algebraic cousins of the analytic graph C*-algebras. We will discuss similarities and differences, in particular recent work with Brownlowe on a purely algebraic version of Kirchberg's theorem that all exact C*-algebras embed into O_2.
Stein Andreas Bethuelsen (Universiteit Leiden) gives a lecture with the title: Random walks in (dynamic) random environment
Marco Matassa (UiO) will give a talk with title The Dolbeault-Dirac operator on quantized projective spaces, revisited
Abstract: In this talk I will present a new construction for the Dolbeault-Dirac operator on quantum projective spaces, the main result being the computation of its square. This clarifies and generalizes some results of D'Andrea-Dąbrowski. Moreover it gives a class of explicit examples of the general construction of Krähmer-Tucker Simmons, which deals with such operators on irreducible generalized flag manifolds.
Carsten Lütken, UiO, gives the Seminar in Algebra and Algebraic Geometry:
Modular curves VIII
The Skolem Lecture is an annual event in honor of the Norwegian mathematician and logician Thoralf Skolem.
This years Skolem Lecturer will be
Michael Rathjen, The University of Leeds:
"On relating strong type theories and set theories"
Roberto Conti (La Sapienza, Rome) will give a talk with title "C*-algebras and Fourier theory"
Robert Yuncken (Univ. Clermont-Ferrand II, France) will give a talk with title: A groupoid approach to pseudodifferential operators
Abstract: Connes introduced the "tangent groupoid" of a manifold as a geometric device for linking a classical pseudodifferential operator to its symbol, yielding a novel proof of the Atiyah-Singer index theorem. Since then, numerous variations on the tangent groupoid have been produced, each adapted to a different class of pseudodifferential operators. In this talk we will consider the reverse problem: associating to a given tangent groupoid a pseudodifferential calculus. We shall show that the kernels of classical pseudodifferential operators are precisely the essentially homogeneous fibrewise distributions on Connes' tangent groupoid. This leads to a natural pseudodifferential calculus of subelliptic type on a manifold with a filtration on its Lie algebra of vector fields.
Fredrik Meyer, UiO, gives the Seminar in Algebra and Algebraic Geometry:
Modular curves VII
Comments on the Galilean limits of Maxwell's equations
Convex relaxation, graph cut and continuous max-flow algorithms for image processing and computer vision.