Seminar for Young Researchers

The seminar takes place in the rooms Iota and Eta on Fridays at 12:15–13:15.

Mathematicians, statisticians, students, researchers - Everyone is welcome.

In the spring 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 seventh 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
Miika Manu (miika.a.manu[at]jyu.fi),
Tuomas Niemi (tuomas.a.niemi[at]jyu.fi), or
Onni Hinkkanen (onni.u.i.hinkkanen[at]jyu.fi).

Talks in Fall 2026

2.10. @Iota: Janne Taipalus: Sobolev Spaces on Extended Metric Measure Spaces

Abstract: In this talk we learn how to do first-order Sobolev calculus when our space has points that are infinitely far apart. Most notable example of this is an abstract Wiener space: A Banach space with a certain Hilbert space in it known as Cameron-Martin space. We learn a couple of different definitions for the Sobolev space and get to know a handy compactification trick. Talk is based on joint works with Enrico Pasqualetto and Timo Schultz.

9.10. @Iota: Leevi Arffman: Lichnerowicz–Obata theorem

Abstract: The Lichnerowicz–Obata theorem establishes a connection between curvature bounded and closed Riemannian manifolds and the Laplace–Beltrami operator. Lichnerowicz’s estimate provides a sharp estimate on the first eigenvalue of the Laplace–Beltrami operator λ1 ≥ na/n−1 , on a suitable Riemannian manifold that satisfies Ric ≥ ag > 0, for some a > 0. Obata’s rigidity theorem states that there exists a smooth function satisfying the equation ∇i∇j f = −c2fgij , if and only if the manifold is isometric to the Euclidean sphere. Combining these results, we get the Lichnerowicz–Obata theorem, which states that in the Lichnerowicz’s inequality, equality is achieved if and only if the manifold is isometric to the Euclidean sphere. In this presentation, I will present the proof of the theorem and some of the problems I encountered when proving the theorem.

23.10. @Iota: TBA: TBD

Abstract: TBD

30.10. @Iota: Miro Arvila: TBD

Abstract: TBD

6.11. @Eta: Riku Anttila: Doubly nonlinear parabolic PDEs.

Abstract: In this talk I will give a brief overview about weak solutions to doubly nonlinear parabolic PDEs of the form \[ \partial_t \! \left( |u|^{m-2}u \right) = \text{div}\!\left( |\nabla u|^{p-2}\nabla u \right). \] Note that the case \(p=2=m\) is the usual heat equation. I will explain why I find these PDEs interesting, prove some basic properties, and discuss some curious open problems.

13.11. @Eta: Shubham Jaiswal: TBD

Abstract: TBD

20.11. @Eta: Ritu Attri: TBD

Abstract: TBD

27.11. @Eta: Mikko Väänänen: TBD

Abstract: TBD

4.12. @Eta: Ahan Nandi: TBD

Abstract: TBD

11.12. @Eta: TBA: TBD

Abstract: TBD

18.12. Awarding of the Truly Awesome Robust Honorary Award

Abstract: We will award the seventh edition of T.A.R.H.A. to the most popular speaker of the spring chosen by a public vote.

Previous organizers

Riku Anttila
Janne Taipalus
Miro Arvila
Antti Kykkänen
Janne Nurminen
Tapio Kurkinen
Timo Schultz
Ville Kivioja

Previous T.A.R.H.A award winners

Miika Manu (Spring 2026)
Tuomas Niemi (Spring 2025)
Veikko Vuolasto (Autumn 2024)
Damian Dabrowski (Spring 2024)
Tapio Kurkinen (Autumn 2023)
Henri Hänninen (Spring 2023)