Visiting addressUllevål Stadion Sognsveien 77B
On the 29th and 30th of May, a topology meeting will convene at the University of Oslo to discuss a broad range of topics in topology, including topological Hochschild homology, motivic homotopy theory, symplectic geometry, and low-dimensional geometry.
Yuliia Mishura (Taras Shevchenko National University of Kyiv) gives a lecture with the title: Fractional Cox-Ingersoll-Ross process and its applications to financial markets.
Kostiantyn Ralchenko (Taras Shevchenko National University of Kyiv) gives a lecture with the title: Maximum likelihood estimation for drift parameter of Gaussian process.
A seminar in the honour of Erik Bølviken at his 70’th birthday.
Nordfjordeid Summer school 2018
This is the third and last lecture by Anders C. Hansen (Cambridge Univ. and UiO) on this topic. Vegard Antun (UiO) will also contribute to the lecture.
This is the second in a series of three lectures by Anders C. Hansen (Cambridge Univ. and UiO) on this topic. Vegard Antun (UiO) will also contribute to the lectures.
This is the first in a series of three lectures by Anders C. Hansen (Cambridge Univ. and UiO) on this topic. Vegard Antun (UiO) will also contribute to the lectures.
Kurusch Ebrahimi-Fard (NTNU) will give a talk with title: Moment-cumulant relations in noncommutative probability and shuffle-exponentials
Abstract: In this talk we consider monotone, free, and boolean moment-cumulant relations from the shuffle algebra viewpoint. Cumulants are described as infinitesimal characters over a particular combinatorial Hopf algebra, which is neither commutative nor cocommutative. As a result the moment-cumulant relations can be encoded in terms of shuffle and half-shuffle exponentials. These shuffle exponentials and the corresponding logarithms permit to express monotone, free, and boolean cumulants in terms of each other using the pre-Lie Magnus expansion. If time permits we will revisit additive convolution in monotone, free and boolean probability and related aspects. Based on joint work with F. Patras (CNRS).
In this second talk I will prove the local slice theorem and give examples of applications, discuss compactness properties of instanton moduli spaces, and explain the definition and some properties of instanton homology.
In their book "Riemann-Roch Algebra", Fulton and Lang give an account of Chern classes in lambda-rings and a general version of Grothendieck's Riemann-Roch theorem. Their definition of Chern classes is based on the additive formal group law. In work on connective K-theory, Greenlees and I have given an account of Chern classes in lambda-rings based on the multiplicative formal group law. This account has an evident generalization to any formal group law. The course will be an attempt to carry out Fulton and Lang's program in this more general setting. Hoped for applications include generalizations of results relating rational lambda-modules to twisted Dirichlet characters. ---
The third Scandinavian Gathering Around Remarkable Discrete Mathematics
Associate Professor Erik Adli from the Department of Physics at UiO will give a Colloquium Talk on
M.Sc. Torkel Andreas Haufmann ved Matematisk institutt vil forsvare sin avhandling for graden ph.d.:
Some topics in combinatorial matrix theory and on the k-regular induced subgraph problem
Waldhausen's algebraic K-theory of spaces is an extension of algebraic K-theory from rings to spaces (or ring spectra) which also encodes important geometric information about manifolds. Bivariant A-theory is a bivariant extension of algebraic K-theory from spaces to fibrations of spaces. In this talk, I will first recall the definition and basic properties of bivariant A-theory and the A-theory Euler characteristic of Dwyer-Weiss-Williams. I will then introduce a bivariant version of the cobordism category and explain how this may be regarded as a universal space for the definition of additive characteristic classes of smooth bundles. Lastly, I will introduce a bivariant extension of the Dwyer-Weiss-Williams characteristic and discuss the Dwyer-Weiss-Williams smooth index theorem in this context. Time permitting, I will also discuss some ongoing related work on the cobordism category of h-cobordisms. This is joint work with W. Steimle.
M.Sc. Rune Vegard Skullerud Fjellbo ved Matematisk institutt vil forsvare sin avhandling for graden ph.d.:
Non-singular simplicial sets
M.Sc. Rune Vegard Skullerud Fjellbo ved Matematisk institutt avholder prøveforelesning over oppgitt emne: "The s-cobordism theorem".
M.Sc. Torkel Andreas Haufmann ved Matematisk institutt avholder prøveforelesning over oppgitt emne: "Nonnegative factorization rank of a nonnegative matrix".
On Tuesday the 3rd of April there will be a presentation on the modern problems facing research data and its use. It is highly recommended that all employees at the Department of Mathematics attend.
The presentation will be held in English.