Goethe-Universität — Frankfurter Seminar - Kolloquium des Instituts für Mathematik

Ginkgo Seminar

Vorkolloquium für Doktoranden, Post-Docs und interessierte Studierende

An den jeweiligen Veranstaltungstagen wird mit dem Ginkgo-Seminar (Gingko - Grundlagen, Intuition, Neugier für und auf das Kolloquium) gestartet, einer exklusiven Veranstaltung von Doktoranden für Doktoranden, Post-Docs und interessierte Studierende.

Ziel ist es, die Vorträge "aus der anderen Ecke des Instituts" für alle Interessierten zugänglicher zu machen.

Das Vorkolloquium findet immer ab 15.00 (c.t.) in Raum 711 groß vor dem jeweiligen Vortrag statt.

Frankfurter Seminar

Okt 29 2025

16:45

Xavier Ros-Oton: Regularity theory for PDE and free boundary problems

Universitat de Barcelona

Abstract: One of the most basic and important questions in PDE is that of regularity: to decide whether all solutions to a given PDE are smooth or not.

A classical example is Hilbert's 19th problem, solved in 1956 by De Giorgi and Nash. The regularity theory for elliptic and parabolic PDE experienced a huge development during the second half of the 20th century, and nowadays there are still several problems of crucial importance that remain open.

The aim of this talk is to give an overview of this topic and present some recent results in this direction.

Ginkgo-Seminar

Okt 29 2025

15:15

Dr. Abhrojyoti Sen: Some free boundary value problems and the Hausdorff measure

Frankfurter Seminar

Jul 16 2025

16:45

Prof. Dr. Damaris Schindler: Density of rational points near manifolds

Universität Göttingen

Abstract: Given a bounded submanifold M in R^n, how many rational points with common bounded denominator are there in a small thickening of M? How does this counting function behave if we let the size of the denominator go to infinity?

The study of the density of rational points near manifolds has seen significant progress in the last couple of years. In this talk I will explain why we might be interested in this question, focusing on applications in Diophantine approximation and the (quantitative) arithmetic of projective varieties.

Ginkgo-Seminar

Jul 16 2025

15:15

Robert-Mayer-Straße 10 | Raum 711

Benjamin Steklov: Continued fractions & Diophantine Approximation

Frankfurter Seminar

Jun 25 2025

16:45

Prof. Yann Disser: Complexity of the Simplex Method

TU Darmstadt

Abstract: The existence of a polynomial-time pivot rule for the simplex method has remained one of the central open problems in (linear) optimization since the method's inception in 1947. An efficient pivot rule would likely yield the first combinatorial and strongly polynomial-time algorithm for linear programming, and would settle the long-standing Hirsch-conjecture on the diameter of polytopes.

In this talk, I will give an accessible introduction to linear optimization and explain the significance of the search for an efficient pivot rule. I will trace the historical development of the problem, present classical results alongside modern techniques, and highlight recent progress and emerging perspectives in this quest.