# Lectures, seminars and dissertations

* Dates within the next 7 days are marked by a star.

Pekka Lehtelä (Aalto)

**Obstacle problem for the porous medium equation**

*** ** Friday 23 February 2018, 14:15, Kumpula Exactum C124

Harmonic analysis and PDE seminar

Nick Lindemulder (TU Delft)

**A randomized difference norm for vector-valued Bessel potential spaces**

*** ** Friday 23 February 2018, 15:15, Kumpula Exactum C124

In this talk we discuss a randomized difference norm characterization for Bessel potential spaces in the UMD Banach space-valued setting. The main ingredients are R-boundedness results for Fourier multiplier operators, which are of independent interest. As an application we characterize the pointwise multiplier property of the indicator function of the half-space on these spaces. All results are proved in the setting of weighted spaces

Harmonic analysis and PDE seminar

Acadamy Research Fellow Kaisa Matomäki (University of Turku)

**Correlations of arithmetic functions**

*** ** Tuesday 27 February 2018, 15:15, D

Important arithmetic functions include the von Mangoldt function $\Lambda(n)$ which is essentially a weighted characteristic function of the primes, and the Liouville function $\lambda(n)$ which is $-1$ or $+1$ depending on whether $n$ has an odd or even number of prime factors. Mean values of these functions have been known for more than a century and in both cases the asymptotic evaluation of the mean value is equivalent to the prime number theorem which says that the number of primes up to $x$ is $x/\log x$.
Much more difficult question is whether there is correlation between consecutive values of $\lambda(n)$ or between $\Lambda(n)$ and $\Lambda(n+2)$. Such questions are closely related to the notoriously difficult twin prime conjecture which claims that there are infinitely many primes $p$ such that $p+2$ is also prime. Though the twin prime conjecture is still a distant goal, there has been some recent progress on this sort of correlations which I will discuss.

Colloquim

Pekka Alestalo (Aalto University)

**Extension of bilipschitz maps: A survey**

*** ** Wednesday 28 February 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Sebastian Schwarzacher (University of Bonn)

**TBA**

Wednesday 07 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Ilmari Kangasniemi (University of Helsinki)

**TBA**

Wednesday 14 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

**Teaching meeting**

Tuesday 20 March 2018, 14:15, Coffee room

Sylvester Eriksson-Bique (UCLA)

**TBA**

Wednesday 21 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

TBA

**TBA**

Friday 23 March 2018, 14:15, M3 (M234)

Harmonic analysis and PDE seminar

Antti Vähäkangas (Jyväskylä)

**TBA**

Friday 23 March 2018, 15:15, M3 (M234)

Harmonic analysis and PDE seminar

Prof. Heikki Haario (Lappeenranta University of Technology)

**TBA**

Tuesday 27 March 2018, 15:15, D

Colloquim

Augusto Gerolin (University of Jyväskylä)

**Optimal Transport meets Density Functional Theory **

Wednesday 28 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Amal Attouchi (University of Jyväskylä)

**Qualitative properties of viscosity solutions of a degenerate or singular parabolic equation in non-divergence form.**

Wednesday 11 April 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Prof. Peter Lindqvist (Norwegian University of Science and Technology)

**TBA**

Tuesday 24 April 2018, 15:15, D

Colloquim

**Departmental meeting**

Tuesday 29 May 2018, 14:15, Coffee room

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