## Visiting address

Ullevål StadionSognsveien 77B

0855 OSLO

Norway

Time and place:
Oct. 26, 2016 10:15 AM - 12:00 PM,
B81

Time and place:
Oct. 25, 2016 10:15 AM - 12:00 PM,
B 638

Given a Nisnevich sheaf (on smooth schemes of finite type) of spectra, there exists a universal process of making it 𝔸^{1}-invariant, called 𝔸^{1}-localization. Unfortunately, this is not a stalkwise process and the property of being stalkwise a connective spectrum may be destroyed. However, the 𝔸^{1}-connectivity theorem of Morel shows that this is not the case when working over a field. We report on joint work with Johannes Schmidt and sketch our approach towards the following theorem: Over a Dedekind scheme with infinite residue fields, 𝔸^{1}-localization decreases the stalkwise connectivity by at most one. As in Morel’s case, we use a strong geometric input which is a Nisnevich-local version of Gabber’s geometric presentation result over a henselian discrete valuation ring with infinite residue field.

Time and place:
Oct. 21, 2016 2:15 PM - 4:00 PM,
B 637 NHA

The advances on the Milnor- and Bloch-Kato conjectures have led to a good understanding of motivic cohomology and algebraic K-theory with finite coefficients. However, important questions remain about rational motivic cohomology and algebraic K-theory, including the Beilinson-Soulé vanishing conjecture. We discuss how the speaker's "connectivity conjecture" for the stable rank filtration of algebraic K-theory leads to the construction of chain complexes whose cohomology groups may compute rational motivic cohomology, and simultaneously satisfy the vanishing conjecture. These "rank complexes" serve a similar purpose as Goncharov's candidates for motivic complexes, but have the advantage that they have a precise relation to rational algebraic K-theory.

Time and place:
Oct. 20, 2016 2:15 PM - 4:00 PM,
B638, NH Abels hus

Time and place:
Oct. 14, 2016 2:15 PM - 3:15 PM,
B 738

The so-called Koras-Russell threefolds are a family of topologically

contractible rational smooth complex affine threefolds which played an

important role in the linearization problem for multiplicative group

actions on the affine 3-space. They are known to be all diffeomorphic to

the 6-dimensional Euclidean space, but it was shown by Makar-Limanov in

the nineties that none of them are algebraically isomorphic to the affine

3-space. It is however not known whether they are stably isomorphic or not

to an affine space. Recently, Hoyois, Krishna and Østvær proved that many

of these varieties become contractible in the unstable A^1-homotopy

category of Morel and Voevodsky after some finite suspension with the

pointed projective line. In this talk, I will explain how additional

geometric properties related to additive group actions on such varieties

allow to conclude that a large class of them are actually A^1-contractible

(Joint work with Jean Fasel, Université Grenoble-Alpes).

Time and place:
Oct. 14, 2016 11:15 AM - 12:00 PM,
NHA bygget 9 etg B91

Digital signalbehandling og bildeanalyse, UiO and PGS

**The effects of moving rough sea surfaces on seismic data.**

Time and place:
Oct. 12, 2016 10:15 AM - 12:00 PM,
B81

Andreas Andersson (UiO): An introduction to duality for compact groups in algebraic quantum field theory

Time:
Oct. 11, 2016 2:15 PM

Tamara Broderick (Massachusetts Institute of Technology) will give a seminar in the lunch area, 8th floor Niels Henrik Abels hus at 14:15.

Time and place:
Oct. 11, 2016 10:15 AM - 12:00 PM,
B 738

In this talk, we will present some applications of the "transfer" to

algebraic K-theory, inspired by the work of Thomason. Let A --> B be a

G-Galois extension of rings, or more generally of E-infinity ring spectra

in the sense of Rognes. A basic question in algebraic K-theory asks how

close the map K(A) --> K(B)^hG is to being an equivalence, i.e., how close

K is to satisfying Galois descent. Motivated by the classical descent

theorem of Thomason, one also expects such a result after "periodic"

localization. We formulate and prove a general lemma that enables one to

translate rational descent statements as above into descent statements

after telescopic localization. As a result, we prove various descent

results in the telescopically localized K-theory, TC, etc. of ring

spectra, and verify several cases of a conjecture of Ausoni-Rognes. This

is joint work with Dustin Clausen, Niko Naumann, and Justin Noel.

Time and place:
Oct. 4, 2016 10:15 AM - 12:00 PM,
B 738

The Bass-Quillen conjecture states that every vector bundle over A^n_R is

extended from Spec(R) for a regular noetherian ring R. In 1981, Lindel

proved that this conjecture has an affirmative solution when R is

essentially of finite type over a field. We will discuss an equivariant

version of this conjecture for the action of a reductive group. When R =

C, this is called the equivariant Serre problem and has been studied by

authors like Knop, Kraft-Schwarz, Masuda-Moser-Jauslin-Petrie. In this

talk, we will be interested in the case when R is a more general regular

ring. This is based on joint work with Amalendu Krishna

Time and place:
Sep. 30, 2016 11:15 AM - 12:00 PM,
B91, NHA bygget

**Enrico Fermi and the birth of modern nonlinear physics**

In the early fifties in Los Alamos E. Fermi in collaboration with J. Pasta and S. Ulam investigated a one dimensional chain of equal masses connected by a weakly nonlinear spring. The key question was related to the understanding of the phenomenon of conduction in solids; in particular they wanted to estimate the time needed to reach a statistical equilibrium state characterized by the equipartition of energy among the Fourier modes. They approached the problem numerically using the MANIAC I computer; however, the system did not thermailize and they observed a recurrence to the initial state (this is known as the FPU-recurrence). This unexpected result has led to the development of the modern nonlinear physics (discovery of solitons and integrability). In this seminar, I will give an historical overview of the subject and present the different approaches that have been proposed in the last 60 years for explaining this paradox. Very recent results on the estimation of the time scale and on the explanation of the mechanism of equipartition will also be discussed.

Time and place:
Sep. 29, 2016 2:15 PM - 4:00 PM,
B 735

In Part 2 we will delve into the worlds of derived and spectral algebraic

geometry. After reviewing some basic notions we will explain how motivic

homotopy theory can be extended to these settings. As far as time permits

we will then discuss applications to virtual fundamental classes, as well

as a new cohomology theory for commutative ring spectra, a brave new

analogue of Weibel's KH

Time and place:
Sep. 29, 2016 2:15 PM - 4:00 PM,
B 735

In Part 2 we will delve into the worlds of derived and spectral algebraic

geometry. After reviewing some basic notions we will explain how motivic

homotopy theory can be extended to these settings. As far as time permits

we will then discuss applications to virtual fundamental classes, as well

as a new cohomology theory for commutative ring spectra, a brave new

analogue of Weibel's KH

Time and place:
Sep. 29, 2016 1:15 PM,
"Abels utsikt", 12. etasje Niels Henrik Abels hus

M.Sc. Tore Magnus Arnesen Taklo ved Matematisk institutt vil forsvare sin avhandling for graden ph.d.:

*On the dispersion relation and spectral properties of surface gravity waves*

Time and place:
Sep. 29, 2016 10:15 AM,
"Abels utsikt", 12. etasje Niels Henrik Abels hus

M.Sc. Tore Magnus Arnesen Taklo ved Matematisk institutt avholder prøveforelesning over oppgitt emne: "Fluid mechanics of free surface swimming insects".

Time and place:
Sep. 27, 2016 10:15 AM - 12:00 PM,
B 738

We consider extensions of Morel-Voevodsky's motivic homotopy theory to the

settings of derived and spectral algebraic geometry. Part I will be a

review of the language of infinity-categories and the setup of

Morel-Voevodsky homotopy theory in this language. As an example we will

sketch an infinity-categorical proof of the representability of Weibel's

homotopy invariant K-theory in the motivic homotopy category.

Time and place:
Sep. 26, 2016 9:15 AM - 10:00 AM,
Niels Henrik Abels hus, Undervisningsrom 1036

Numerical methods for stochastic conservation laws

Time and place:
Sep. 23, 2016 1:15 PM,
Aud. 4 Vilhelm Bjerknes' hus

M. Sc. Bas P. A. Jordans ved Matematisk institutt vil forsvare sin avhandling for graden ph.d.:

*Random walks on discrete quantum groups and associated categories*

Time and place:
Sep. 23, 2016 11:15 AM - 12:00 PM,
NHA bygget 9 etg B91

**Experimental investigation of linear stability mechanisms in stratified gas-liquid pipe flow**

The evolution of interfacial waves on a stratified air water pipe flow is investigated experimentally. An oscillating plate introduced controlled perturbations at the inlet of the pipe. High speed cameras captured the evolution of these perturbations along the pipe by means of a phase-locked shadowgraphy technique. Thereby, it was possible to measure the temporal and the spatial evolution of the disturbances introduced in the flow. Particle image velocimetry was performed further downstream in order to evaluate changes in the base flow.

A relatively large data bank has been gathered with varying air and water flow rates as well as varying amplitudes and frequencies of the inlet perturbations. Some preliminary results contain a qualitative assessment of linear vs. non-linear regimes and momentum transfer into the water layer.

Time and place:
Sep. 23, 2016 10:15 AM,
Aud. 4 Vilhelm Bjerknes' hus

M.Sc. Bas P. A. Jordans ved Matematisk institutt avholder prøveforelesning over oppgitt emne: "Connections between quantum groups and operator algebras".

Time and place:
Sep. 22, 2016 2:15 PM - 4:00 PM,
B638, NH Abels hus

Yuan Wang (Utah), gives the Seminar in Algebra and Algebraic Geometry:

*"On the characterization of abelian varieties for log pairs in zero and positive characteristic"*

Time:
Sep. 20, 2016 2:15 PM

Håvard Kvamme (UiO, Dept. of mathematics) will give a seminar in the lunch area, 8th floor Niels Henrik Abels hus at 14:15.

Time and place:
Sep. 20, 2016 10:15 AM - 12:00 PM,
B 738

We will discuss the motivic May spectral sequence and demonstrate how to use it to identify Massey products in the motivic Adams spectral sequence. We will then investigate what is known about the motivic homotopy groups of the eta-local sphere over the complex numbers and discuss how these calculations may work over other base fields.

Time and place:
Sep. 15, 2016 2:15 PM - 4:00 PM,
B638, NH Abels hus

Francesco Galuppi (UiO/Ferrara) gives the algebraic geometry seminar:

"Identifiability of polynomials and Cremona transformations."

Time and place:
Sep. 14, 2016 2:15 PM - 3:15 PM,
B 637

Certain 3-dimensional lens spaces are known to smoothly bound 4-manifolds with the rational homology of a ball. These can sometimes be useful in cut-and-paste constructions of interesting (exotic) smooth 4-manifolds. To this end it is interesting to identify 4-manifolds which contain these rational balls. Khodorovskiy used Kirby calculus to exhibit embeddings of rational balls in certain linear plumbed 4-manifolds, and recently Park-Park-Shin used methods from the minimal model program in 3-dimensional complex algebraic geometry to generalise Khodorovskiy's result. The goal of this talk is to give an accessible introduction to the objects mentioned above and also to describe a much easier topological proof of Park-Park-Shin's theorem.