# Lectures, seminars and dissertations

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

Matthew Romney (University of Illinois)

** Existence of quasiconformal parametrizations of metric surfaces with improved dilatation**

*** Today * ** Wednesday 29 March 2017, 12:15, M3 (M234)

The measurable Riemann mapping theorem is the fundamental existence theorem for homeomorphic solutions to the Beltrami equation in the plane, i.e. quasiconformal mappings, and shows the flexibility of such mappings. More particularly, it gives hope for a positive answer to this question: given a metric space (X,d) quasiconformally homeomorphic to a simply connected domain in the complex plane, can one find a quasiconformal mapping from X onto the same domain which improves the dilatation to within a fixed universal bound? If so, what it the sharp value? This talk will discuss a solution of this problem.

Seminar on analysis and geometry

Matias Vestberg

**Up to Your Neck in Shallow Water**

*** ** Friday 31 March 2017, 14:15, M3 (M234)

We take a plunge into the world of shallow water dynamics as described by the diffusive wave approximation. This nonlinear parabolic PDE is studied using De Giorgi and Moser type iteration techniques to obtain local boundedness of weak solutions. We also present fundamental solutions in the flat case and make some remarks regarding the existence of solutions.

Harmonic analysis and PDE seminar

Juulia Happonen

**Theory Behind Regulatory Capital Formulae**

Monday 10 April 2017, 15:15, M3 (M234)

Ville Tengvall (University of Jyväskylä)

**A Sobolev homeomorphism that cannot be approximated by diffeomorphisms in $W^{1,p}$**

Wednesday 12 April 2017, 12:15, M3 (M234)

Joint work with Daniel Campbell and Stanislav Hencl

Seminar on analysis and geometry

Prof. Thomas Britz

**A Nice Proof of Wei's Duality Theorem**

Wednesday 12 April 2017, 15:15, M3 (M234)

The Tutte polynomial was once an esoteric object known only to the then small community
of combinatorialists. That changed when Greene (1976) pointed out the connection between
this polynomial and weight enumerators, and how that connection provided a beautifully simple
proof of the MacWilliams Identity (MacWilliams 1963) of coding theory fame. The Tutte polynomial
is now of wide interest and appeal to the broader mathematical community who have found
it lurking disguised in numerous areas of mathematics. Despite its present prominence, few are
aware of how the Tutte polynomial provides another beautifully simple proof of a second celebrated
duality theorem from coding theory, namely Weis Duality Theorem (Wei 1991). This proof, due to
Duursma (2004), deserves better exposure, so this talk will present Duursmas proof.

ANTA Seminar: Algebra, Number Theory, and Applications to Communications and Computing / Karpuk, Kaski, Hollanti, Greferath

Prof. Samuli Siltanen (University of Helsinki)

**Electrical impedance tomography imaging via the Radon transform**

Wednesday 19 April 2017, 12:15, M3 (M234)

Seminar on analysis and geometry

Casimir Lindfors

**TBA**

Friday 21 April 2017, 14:15, M3 (M234)

Harmonic analysis and PDE seminar

Thomas Britz (UNSW Sydney)

**A Nice Proof of Wei's Duality Theorem**

Tuesday 25 April 2017, 15:15, M1 (M232)

The Tutte polynomial was once an esoteric object known only to the then small community of combinatorialists. That changed when Greene (1976) pointed out the connection between this polynomial and weight enumerators, and how that connection provided a beautifully simple proof of the MacWilliams Identity (MacWilliams 1963) of coding theory fame. The Tutte polynomial is now of wide interest and appeal to the broader mathematical community who have found it lurking disguised in numerous areas of mathematics. Despite its present prominence, few are aware of how the Tutte polynomial provides another beautifully simple proof of a second celebrated duality theorem from coding theory, namely Weis Duality Theorem (Wei 1991). This proof, due to Duursma (2004), deserves better exposure, so this talk will present Duursmas proof.

Colloquium of Mathematics and Systems Analysis

Stavros Evdoridis (Aalto)

**TBA**

Wednesday 26 April 2017, 12:15, M3 (M234)

Seminar on analysis and geometry

Prof. Harri Ehtamo (Aalto)

**Evoluutiopelit evakuointimalleissa - Pelastettavien kovan leikin peliteoreettinen kuvaus**

Wednesday 26 April 2017, 15:00, U8

LUMA-luennot lukiolaisille / Kangaslampi

Dr. David Cushing (Durham)

**TBA**

Wednesday 26 April 2017, 15:15, M3 (M234)

ANTA Seminar: Algebra, Number Theory, and Applications to Communications and Computing / Karpuk, Kaski, Hollanti, Greferath

Pekka Lehtelä

**TBA**

Friday 28 April 2017, 14:15, M3 (M234)

Harmonic analysis and PDE seminar

Thomas Westerbäck

**TBA**

Wednesday 10 May 2017, 15:15, M3 (M234)

ANTA Seminar: Algebra, Number Theory, and Applications to Communications and Computing / Karpuk, Kaski, Hollanti, Greferath

Christopher Hopper

**TBA**

Friday 12 May 2017, 14:15, M3 (M234)

Harmonic analysis and PDE seminar

Prof. Daina Taimina (Cornell University)

** Study mathematics and ... become an artist?**

Tuesday 16 May 2017, 15:00, C-hall (Y205)

When I was in middle school I was a good student and had very good grades in all subjects...except in art class where I was struggling to draw the way my teacher thought was the right way. I accepted my teacher's judgement that I can do anything but art and went to study mathematics. Could I imagine that some fifty years later I will be known as an artist? Mathematics and art are not too distant. In my talk, I will discuss the interplay between mathematics and art from my own perspective.

Joint Mathematics and Arts and Women in Mathematics Colloquium / Kirsi Peltonen

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