The Ubiquity of Wrońskian

Research group:
The Ubiquity of Wrońskian

11 - 18 October, 2011, Będlewo

Organizers

  • Piotr Pragacz (chair)
  • Grzegorz Kapustka

Invited speakers for the mathematical session

  • Teresa Crespo (Barcelona)
  • Letterio Gatto (Torino)
  • Zbigniew Hajto (Cracow)
  • Maxim Kazarian (Moscow)
  • Inna Scherbak (Tel Aviv)

Other participants

  • Agnieszka Bodzenta
  • Maria Donten-Bury
  • Grzegorz Kapustka
  • Oskar Kędzierski
  • Patrycja Łuszcz-Świtecka
  • Mateusz Michałek
  • Piotr Mormul
  • Piotr Pragacz
  • Sławomir Rams
  • Tomasz Szemberg
  • Halszka Tutaj-Gasińska
  • Andrzej Weber
  • Henryk Żołądek
  • and some others who attended single lectures.

Invited speakers for the historical session

  • Jacek Bartyzel (Toruń)
  • Mariusz Bochenek (Toruń)
  • Grzegorz Karwasz (Toruń)

In the historical session, about 40 participants took part.

Summary of the mathematical session

We studied different incarnations of Wrońskians:
– those of linear systems in algebraic geometry;
– those in ordinary differential equations;
– those in singularity theory.

Letterio Gatto gave 4 talks on: From Wrońskians of linear systems to Wroński-Schubert Calculus

Maxim E. Kazarian gave 2 talks on: Wrońskian preserving deformations.

Inna Scherbak and Maxim Kazarian gave jointly 3 talks on: Schubert calculus in a Grassmannian, Wroński map and generalized Wrońskian

Teresa Crespo and Zbigniew Hajto gave jointly 4 talks on: Picard-Vessiot extensions for real differential fields

In the HISTORICAL SESSION, we had 3 talks:
Jacek Bartyzel: Introduction to Achramatic Philosophy and Mesianic Metapolitics of Hoene-Wroński
Grzegorz Karwasz: Lectures in Physics by Hoene-Wroński
Miroslaw Bochenek: Economical work of Jozef Maria Hoene Wroński

In sum, we had 16 lectures. We plan to make a publication based on some achievements of the Research Group.