In the fall we will award the best speaker with the traditional Truly Awesome Robust Honorary Award. The T.A.R.H.A. prize is awarded for the second time. The awarded person is chosen by a public vote.
If you are willing to give a talk or have any questions you can contact
Antti Kykkänen (antti.k.kykkanen[at]jyu.fi) or
Janne Nurminen (janne.s.nurminen[at]jyu.fi).
Abstract: Does there exist a shape that can tile the plane exclusively in an aperiodic way? Famous Penrose tilings manage to achieve this by using several different shapes, but the existence of a single aperiodic prototile has remained an open problem for years. I’ll discuss the history of the problem, partial solutions from over the years, and recent groundbreaking results from this year.
Abstract: Pictures of planets, astrophysics and Hausdorff dimension.
Abstract: In this talk I will introduce a "fascinating" stochastic process know as skew Brownian motion. I will construct this process as a unique strong solution to a specific stochastic differential equation with a local time term. Furthermore, I will show that this process can be approximated with a specific random walk.
Abstract: Cancelled due to unforseen circumstances.
Abstract: In this overview talk I will introduce you to the field of Mathematical Physics from the perspective of famous (notorious?) open problems. The talk will cover fluid dynamics and turbulence, Quantum Field Theories, General Relativity and Cosmology. Some problems are also discussed in the context of what is known in terms of partial results or analogous problems.
Abstract: In this talk I will discuss some aspects of the mathematical capabilities of GPT-4 based on these two preprints: https://arxiv.org/abs/2303.12712, https://arxiv.org/abs/2306.01694.
Abstract: I will talk about the natural number game, which is a gamified experience of proving things about the natural numbers using Lean, a computer proof assistant. First I will introduce the Peano axioms and some of their consequences and then move on to introduce Lean and the natural number game along with some of the basic ideas that are used in the game. I will also draw some comparisons how things are proven both by hand and in the game.
Abstract: I will talk about Heisenberg group and some basic properties it has. I will also talk about dimension comparison theorem and H-regular hypersurfaces in Heisenberg group. I am also going to give some basic examples about H-regular surfaces.
Abstract: In my talk I define Weaver derivations, which can be defined on a metric space that is equipped with a \(\sigma\)-finite Borel regular measure. I also discuss when non-trivial derivations might exist and show some examples of cases when the derivations are trivial. Lastly I define a Sobolev space by using an exterior derivative and talk about the relation of this space to some other Sobolev spaces that can be defined on the same or a more specific setting.
Abstract: After taking the time to introduce and discuss the basics of ergodic theory in a general setting, we will detail some surprising applications in number theory: a computation of the statistics of the leading digits in (the decimal representation of) the sequence (2^n), a simplified version of the Khintchine’s Diophantine approximation theorem, and (if we have time) the Oppenheim "conjecture" on quadratic forms.
Abstract: I will talk about inverse boundary value problems for some partial differential equations. In particular, I will talk about some nonlinear equations and demonstrate why inverse problems for nonlinear equations can sometimes be easier to solve than for linear equations.
Abstract: We will award the second edition of T.A.R.H.A. to the most popular speaker of the fall chosen by a public vote.
Fall 2022
Spring 2020
Autumn 2019
Autumn 2018
Autumn 2017
Spring 2014