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Institut für Mathematik
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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.


Ginkgo-Seminar

Jun 25 2025
15:15

Robert-Mayer-Straße 10 | Raum 711

Constantin Ickstadt: Some background on polytopes and polyhedra

Teilnahme nur für Studierende, Promovierende und Postdocs
Tee 16:15 - 16:45 Uhr

Frankfurter Seminar

Mai 21 2025
16:45

Prof. Michael Drmota: The Method of Moments Revisited with Applications to Planar Maps

TU Wien

The classical method of moments is used to prove limiting distributions by showing that properly centralized and/or scaled moments of a random variable converge to the corresponding moments of the limit. This method has been very successful in various problems in Analytic Combinatorics. However, it is not always easy to obtain precise
asymptotics for centralized moments - for example for proving a central limit theorem - due to „heavy cancellations“.


The main goal of this talk is to show some applications of a method of moments by Gao and Wormald that proves a central limit theorem without centralized moments. The drawback is that one needs asymptotics of moments that are uniform up to order instead of constant order. Interestingly such asymptotics follow directly from the quasi-power condition (by Hwang).


This leads to another proof of the Quasi-Power-Theorem but opens, too, the way to more sophisticated parameters such as sub-map counts in random planar maps, where a direct generating function approach does not work.


This is joint work with Eva-Maria Hainzl and Nick Wormald.

Ginkgo-Seminar

Mai 21 2025
15:15

Florian Lesny

Teilnahme nur für Studierende, Promovierende und Postdocs
Tee 16:15 - 16:45 Uhr

Frankfurter Seminar

Apr 30 2025
16:45

A. Shadi Tahvildar-Zadeh: Singularity Theories of Matter, Weak Second Bianchi Identity, and Bray's Mass of ZASS

Rutgers University

The second Bianchi identity is a differential curvature identity that is satisfied on any manifold with a smooth metric. If the metric of a Lorentzian manifold solves the Einstein equations, the twice contracted version of the second Bianchi identity implies the physical laws of energy and momentum conservation for the matter field permeating the spacetime. 

In this talk I define a distributional version of the twice-contracted second Bianchi identity, and show that it holds for spacetimes with time-like curvature singularities, provided that these singularities are in a precise sense not too strong.

The momentum and energy balance laws that follow from this assertion could potentially be used to develop a theory, first envisioned by Weyl, in which worldlines of matter particles are identified with time-like singularities of an otherwise vacuum spacetime.

As a first application, a large class of spherically symmetric static Lorentzian metrics with time-like one-dimensional singularities is identified, for which the identity holds. The proof uses the machinery of zero-area singularities (ZASS) and the notion of mass for them as defined by H. Bray.

Ginkgo-Seminar

Apr 30 2025
15:15 - 16:00

Robert-Mayer-Straße 10 | Raum 711

Luca Iffland: Mathematical foundations of general relativity

Teilnahme nur für Studierende, Promovierende und Postdocs
Tee 16:15 - 16:45 Uhr