Seminar Geometrie / Graduate Lectures
Im Rahmen des Seminars Geometrie finden Vorträge von Gästen des Instituts, Graduate Lectures der Fakultät für Mathematik zu aktuellen Themen sowie Vorträge der Doktorand*innen und Verteidigungen von Abschlussarbeiten der Studierenden statt.
Alle Interessent*innen sind herzlich eingeladen.
Im Sommersemester 2024 finden die Vorträge jeweils im Raum Z21/242 statt.
16.07.2024 (Di) Z21/242 14:00 |
Johannes Dietzschold (Leipzig) The Fitting Lemma for Finite Tracial von Neumann Algebras |
09.07.2024 (Di) Z21/242 15:00 |
Pietro Giavedoni The problem of classification of real Riemann surfaces can be formulated as the challenge to decide if a real Riemann surface - or equivalently, a projective, smooth and irreducible curve - is endowed with real points, based on any "real" period matrix of its. Solved only for genus two (by Comessatti), it has been open for more than one century nowadays. I will propose an exhaustive and effective solution valid for all genera. |
02.07.2024 (Di) Z21/242 15:00 |
kein Seminar |
25.06.2024 (Di) Z21/242 15:00 |
kein Seminar |
18.06.2024 (Di) Z21/242 15:00 |
Lorenzo Baldi (MPI-MIS Leipzig) Given a real projective curve X, we study the dual convex cones of nonnegative forms and positive Borel measures supported on X. For the dual cone of measures, we deduce that the Caratheodory number is determined by the topology of the real locus of the curve, using a technique inspired by Hilbert's proof on ternary quartics. Through the talk, we present some possible future research directions of algebraic and differential nature, to extend our results beyond the genus one case. Based on a joint work with Greg Blekherman and Rainer Sinn. |
11.06.2024 (Di) Z21/242 15:00 |
Jonas Pinke (Bielefeld) Pontryagins famous duality theorem establishes a strong relationship between locally compact abelian hausdorff (LCA) groups and their dual groups, providing deep insights into the structure and behavior of these groups. In the talk we will give a proof of the duality theorem based on ideas from category theory, which is guided by the structure within the category LCA.The duality theorem will first be established for the subcategory of compactly generated abelian Lie-Groups.Through the study of "formal" limits and colimits the duality is expanded to a duality between the subcategories of discrete abelian and compact abelian LCA groups. From there, a study of exact sequences will result in the full duality theorem for the category LCA. |
04.06.2024 (Di) Z21/242 15:00 |
kein Seminar |
28.05.2024 (Di) Z21/242 15:00 |
kein Seminar |
21.05.2024 (Di) | kein Seminar (Pfingstferien) |
14.05.2024 (Di) Z21/242 15:00 |
kein Seminar |
07.05.2024 (Di) Z21/242 15:00 |
kein Seminar |
30.04.2024 (Di) Z21/242 15:00 |
kein Seminar |
23.04.2024 (Di) Z21/242 15:00 |
Jakob Galley (TU Dresden) Topics around the Jacobian Conjecture |
16.04.2024 (Di) Z21/242 15:00 |
kein Seminar |
09.04.2024 (Di) |
Asgar Jamneshan (Koc University, Istanbul) The analogue of the Gowers uniformity norms for measure-preserving abelian actions is the Host-Kra-Gowers seminorms, which are intimately connected to the Host-Kra-Ziegler factors of such systems. The corresponding inverse question, in the dynamical setting, asks for a description of such factors in terms of systems of algebraic origin. In this talk, we present a satisfactory answer to inverse question in the case of the Gowers $U^3$-norm in the combinatorial setting by completely classifying Host-Kra-Ziegler factors of order $2$, also known as Conze-Lesigne factors, for all countable measure-preserving abelian actions. |
Für weitere Vorträge der Fakultät siehe auch Veranstaltungskalender Mathematik.
Eine Übersicht über Vorträge vergangener Semester ist im Archiv zu finden.