12
Fachbereich
Institut für Mathematik
Toggle navigation EN

Oberseminar Geometrische Analysis​​

Termin und Ort:

Dienstag 14 Uhr c.t., RM10 - 903; ab SoSe 2026 Raum 902

Veranstalter:

Prof. Dr. A. Bernig
Prof. Dr. J. Scheuer
Prof. Dr. T. Weth

Geometrische Analysis

Mai 5 2026
14:00

Raum 902

Mario Ishikawa (Wien)

Geometrische Analysis

Apr 14 2026
14:00

Ilka  Agricola (Marburg)

Geometrische Analysis

Mär 17 2026
14:00

Raum 903

Giorgio Saracco (Ferrara, Italien)

Geometrische Analysis

Feb 10 2026
14:00

Raum 903

Miles Simon (Magdeburg) - fällt aus

Geometrische Analysis

Feb 3 2026
14:00

Raum 903

Mohammad Ivaki (Wien): Capillary Curvature Problems 

I will survey recent progress on the capillary Christoffel–Minkowski problem and its L_p analogue in the half-space. I will then discuss some of the main open problems in the area.

Geometrische Analysis

Jan 27 2026
14:00

Raum 903

Luca Iffland (Frankfurt): The local logarithmic Brunn-Minkowski inequality for bodies of revolution 

The conjectured logarithmic Brunn-Minkowski inequality is a stronger version of the classical Brunn-Minkowski inequality, that has many applications in convex geometry, stochastis and other fields of mathematics. In my recent work, I prove a local version of the logarithmic Brunn-Minkowski inequality for one body of revolution and
one arbitrary body. Equality cases are discussed and some consequences such as the logarithmic Minkowski inequality and the uniqueness of the cone volume measure for bodies of revolution are deduced. The proof uses an operator theoretic approach together with the decomposition of spherical functions into isotypical components with respect to rotations around a fixed axis

Geometrische Analysis

Jan 20 2026
14:00

Raum 903

Thomas Wannerer (Jena): Translation invariant curvature measures of convex bodies 

In a series of papers, Weil initiated the investigation of translation invariant curvature measures of convex bodies, which include as prime examples Federer's curvature measures. In on-going work, we continue this line of research by introducing new tools to study curvature measures. Our main results suggest that the space of curvature measures, which is graded by degree and parity, is highly structured: We conjecture that each graded component has length at most $2$ as a representation of the general linear group, and we prove this in degree $0$ and $n-2$. Beyond this conjectural picture, our methods yield a characterization of Federer's curvature measures under weaker assumptions.

Based in part on joint work with Jakob Schuhmacher. 

Geometrische Analysis

Dez 16 2025
14:00

Raum 903

Shujing Pan (Frankfurt): The quermassintegral inequalities for horo-convex domains in the sphere

In this talk, I will introduces a new notion of convexity on the unit sphere, called horo-convexity, inspired by its analogue in hyperbolic space. For horo-convex hypersurfaces, we prove the smooth convergence of the Guan–Li inverse curvature flow and, as a consequence, establish the full set of quermassintegral inequalities on the sphere. The talk will briefly outline the definition, the flow approach, and the main geometric results. This talk is based on joint work with Julian Scheuer

Geometrische Analysis

Dez 2 2025
14:00

Raum 903

Marcus Flook (Australian National University): Mean curvature flow analogues in Cauchy-Riemann (CR) Geometry

In this talk, I will introduce and motivate Cauchy-Riemann (CR) geometry by considering real hypersurfaces embedded in complex Euclidean space. Firstly, I will discuss progress on both Darboux- and Alexandrov-type theorems in this setting. Secondly, I will introduce flows of CR hypersurfaces that are analogous to the mean curvature flow. Alongside the standard degeneracy due to tangential diffeomorphisms, such flows have an additional degeneracy due to the CR structure which will be discussed. Finally, I will discuss joint research with Ben Andrews on new flows which preserve key components of the CR structure. This talk will be accessible to those with a background in Riemannian geometry.

Geometrische Analysis

Nov 18 2025
14:00

Georg Hofstätter (TU Wien): Localization of valuations and Alesker’s irreducibility theorem

We introduce a new localization technique for translation-invariant valuations on
convex bodies. We then apply it to show that smooth, translation-invariant valua-
tions are representable by integration over the normal cycle. With this representa-
tion, we provide a new proof of Alesker’s famous irreducibility theorem.
This is joint work with J. Knoerr.