Oberseminar

Ort und Zeit:
Mi 14-15.30 Uhr, ZOOM (in case you want to join our Oberseminar please write an email to Stefan Krupp)

Sommersemester 2021

28.04.Felix Kirschner
05.05.Moritz Lücke
12.05.Peyman Esfahani
19.05.Lea Hüpper
09.06.Yoshiharu Kohayakawa
16.06.Davi de Castro-Silva

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Wintersemester 2020/2021

11.11.Björn Rahn
18.11.Lucas Slot
02.12.Antonia Thiemeyer
09.12.Arne Heimendahl
13.01.Krzysztof Postek
20.01.Daniel Brosch
03.02.Marc Bremser, Andreas Spomer, Moritz Luecke,
Aurelio Marafioti

Sommersemester 2020

15.04.Maria Dostert
22.04.Arne Heimendahl
06.05.Markus Heinrich
13.05.Felipe Montealegre-Mora
27.05.Jan Rolfes, Marc Zimmermann
10.06.Frank Vallentin
17.06.Philipp Baaden
24.06.David de Laat

Wintersemester 2019/20

09.10.Richard Kueng
16.10.Konstantin Golubev
06.11.Felipe Montealegre
27.11.Lucas Slot
04.12.Fabian Portner
18.12.Dennis Kerp
15.01.Marc Zimmermann
22.01.Frank Vallentin

Sommersemester 2019

30.04.Frederik von Heymann
28.05.Greta Fischer
18.06.Sander Gribling, Arne Heimendahl, Maria Dostert
25.06.Maria Zhumabaeva
02.07.Fei Xue
09.07Max Gripp, Lukas Lüchtrath
27.09.Maximilian Bertrand, Benjamin Bolm, Jan-Niklas Cirillar, Lucas Gemein, Sven Goldberg, Jana Pier, Maria Zhumabaeva

Wintersemester 2018/19

10.10.Seminar: Introduction to Quantum Information and Quantum Computing
24.10.Tuna Acisu, Daniel Brosch
7.11.Sihuang Hu
14.11.Ronja Krämer
21.11.Frank Vallentin
28.11.Philippe Moustrou
5.12.Arne Heimendahl
12.12.Max Gripp
19.12.Stefan Krupp
16.1.Castro-Silva, Gundert, Heymann, Krupp, Rolfes, Vallentin
30.01.Davi Castro-Silva
15.02.Christian Blum
29.03.Carina Bröhl, Felix Kirschner, Helena Schmitz, Eric Windler

Sommersemester 2018

18.04.Marc Zimmermann
25.04.Jan Rolfes
16.05.Christian Blum, Andreas Spomer, Benjamin Rochti
06.06.Tuna Acisu
27.06.Felix Kirschner
11.07.Stefan Krupp
18.07.Frank Vallentin
10.09.Benjamin Rochti, Andreas Spomer
28.09.Dennis Jahn

Sommersemester 2017

19.04.Nico Schreiber
26.04.Mohammad Bardestani, Jonas Mahnkopp
03.05.Stefan Krupp
14.06.Anna Gundert
21.06.Frank Vallentin
28.06.Fabian Hillmann
05.07.Daniel Rumi, Michael Lohaus
12.07.Marc Christian Zimmermann
11.09Sören Stahlmann
28.09Björn Rahn

Wintersemester 2016/17

26.10.Jan Arntzen
2.11.Halil Ibrahim Ertik
9.11.Fabian Hillmann
16.11.Alexander Pütz
23.11.Kein Oberseminar
30.11.Jan Rolfes
7.12.Kein Oberseminar
14.12.Workshop "Combinatorial Optimization meets Parameterized Complexity" in Bonn
21.12.Katharina Kehrle
11.1.Kein Oberseminar
18.1.Kein Oberseminar
25.1.Maryna Viazovska - The sphere packing problem in dimensions 8 and 24 Institutskolloquium
1.2.Kein Oberseminar
8.2.Kein Oberseminar
14.2. (10 Uhr)Niklas Niemczyk

Sommersemester 2016

13.04.Vorbesprechung Seminar: Konvexe Optimierung
20.04.Cristóbal Guzmán (CWI Amsterdam) - An optimal affine-invariant smooth minimization algorithm
27.04.Kein Oberseminar
04.05.Aron Rahman, Cordian Riener (Aalto)
11.05.Jan Arntzen
18.05.Pfingstferien
25.05.Raman Sanyal (FU Berlin)
01.06.Kein Oberseminar
08.06.Anna Karasoulou (Athen) - Approximating Multidimensional Subset Sum and
Minkowski Decomposition of polytopes
15.06.Maria Infusino (Konstanz)
22.06.Maria Dostert
29.06.Kein Oberseminar
06.07.Fernando Mário de Oliveira Filho - Flag algebras, a first glance
13.07.Kein Oberseminar
06.09.Sondertermin 14:00 Uhr SR2 (MI): Tim-Lasse Bohm

Wintersemester 2015/16

21.10.Kein Oberseminar
28.10.Kein Oberseminar
04.11.Anna Gundert
11.11.Kein Oberseminar
18.11.Hasan Oruc
25.11.Robert Scheidweiler (RWTH Aachen) - Reconstructing finite subsets of the plane up to some groups of isometries (abstract)
02.12.Katharina Kehrle
09.12.Alexandre d'Aspremont - Ranking from pairwise comparisons using Seriation im Institutskolloquium
16.12.Carina Schmitz
13.01.Kein Oberseminar
20.01.Kein Oberseminar
27.01.Alexander Pütz
03.02.Kein Oberseminar
10.02.Kein Oberseminar
26.02.
15Uhr
Fabrício C. Machado

Sommersemester 2015

8.4.kein Oberseminar
15.4.kein Oberseminar
22.4.Wiebke Lindt, Carina Schmitz
29.4.Frederik von Heymann
6.5.Frank Vallentin
13.5.kein Oberseminar
20.5.Berk Öcal
27.5.Pfingstferien
3.6.Christine Bachoc, Aron Rahman
10.6.Lydia Maier
17.6.Greta Fischer
24.6.Jan Rolfes
1.7.Matthias Schwarz, Hasan Oruc
8.7.kein Oberseminar
15.7.kein Oberseminar       

Wintersemester 2014/15

8.10.Moritz Firsching (FU Berlin) - Applications of nonlinear optimization and integer relations algorithms in computational geometry
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] Given two 3-dimensional polyhedra $P$ and $Q$, we can ask for the largest
polyhedron similar to $Q$ that is contained in $P$. Taking $P$ and $Q$ to be one
of the 5 regular polyhedra we obtain 20 non-trivial pairs of polyhedra.
H.T.Croft found the solution to this question in 14 out of these 20
cases in 1980. We show how to solve the remaining cases by a combination
of two techniques. First we calculate solutions numerically using
quadratic optimization. Secondly we use integer relations algorithms to
find exact algebraic solution to the resulting systems of equations.
It is shown how similar methods can be used in a variety of problems
from discrete geometry. [/dropdown_box]
15.10.kein Oberseminar
22.10Robin Daniels, Lea Loepke
29.10.kein Oberseminar
5.11.Fernando Mário de Oliveira Filho (University of São Paulo)
12.11.Sven Labusch
19.11.kein Oberseminar
26.11.David de Laat (TU Delft) - Sum of squares polynomials: a symmetrized version of Putinar's theorem
3.12.Anna Gundert
10.12.Kristóf Huszár (IST Austria) - Random Latin Squares and 2-Dimensional Expanders
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] For more than forty years, expander graphs have been playing an important role in many areas of mathematics, especially in combinatorics and theoretical computer science. In recent years, there is an increasing interest in high-dimensional generalizations of expansion, as well. After introducing the notion of $\mathbb{F}_2$-coboundary expansion for simplicial complexes, we will discuss the key ideas of a paper by Lubotzky and Meshulam, in which the authors establish the existence of an infinite family of 2-dimensional expanders with bounded edge degree. [/dropdown_box]
17.12.Lydia Maier, Wiebke Lindt
7.1.kein Oberseminar
14.1.Jan Rolfes
21.1.Greta Fischer, Julia Cynarski
28.1.Maria Dostert
4.2.Vorbesprechungen Sommersemester 2015
4.3. 13 UhrDavid de Laat (TU Delft)
18.3. 13 UhrSven Labusch

Sommersemester 2014

16.4.Kein Seminar
23.4.Walid Schalesi
30.4.Mathieu Dutour Sikiric (Rudjer Bosković Institute) - Polytopes, Polyhedral tessellations, cohomology, Hecke operators and modular forms.
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] The computation of modular forms is a major problem in number theory. Here, we propose to consider the space of modular as a cohomology group and to compute it with polyhedral methods.
Henceforth, our emphasis is on presenting practical techniques for computing cohomology groups of $\mathrm{GL}_n(\mathbb{Z})$ and their relatives. This will include perfect forms, polyhedral tesselations and how this is translated in terms of $G$-modules. Our general aim is to establish some link between disparate subjects that are usually explained separately and to be as understandable as possible.[/dropdown_box]
7.5.May Szedlák (ETH Zürich) - Higher Dimensional Discrete Cheeger Inequalities
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] For graphs there exists a strong connection between spectral expansion and edge expansion. This is expressed, e.g., by the Cheeger inequality, which states that $\lambda(G) \leq h(G)$, where $\lambda(G)$ is the second smallest eigenvalue of the Laplacian of $G$ and $h(G)$ the Cheeger constant measuring the edge expansion of $G$. We are interested in generalizations of expansion properties to finite simplicial complexes of higher dimension. Whereas for simplicial complexes, higher dimensional Laplacians were introduced already in 1945 by Eckmann, the generalization of edge expansion is not straightforward. Recently, a topologically motivated notion analogous to edge expansion was introduced by Gromov and independently by Linial, Meshulam and Wallach and by Newman and Rabinovich. It is known that for this generalization there is no higher dimensional analogue of the lower bound of the Cheeger inequality. A different, combinatorially motivated generalization of the Cheeger constant, denoted by $h(X),$ was studied by Parzanchevski, Rosenthal and Tessler. They showed that indeed $\lambda(X) \leq h(X)$, where $\lambda(X)$ is the smallest non-trivial eigenvalue of the Laplacian, for the case of $k$-dimensional simplicial complexes $X$ with complete $(k-1)$-skeleton. Whether this inequality also holds for k-dimensional complexes with non-complete $(k-1)$-skeleton has been an open question. We give two different strengthenings of the inequality for arbitrary complexes.[/dropdown_box]
14.5.Jan Rolfes, Anna-Lena Tychsen
21.5.Raman Sanyal (FU Berlin), Marius Recher

Raman Sanyal - Relative Upper Bound Theorems
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"]The Upper Bound Theorem, conjectured by Motzkin and proved by McMullen, is one of the cornerstones of discrete geometry: Neighborly simplicial polytopes maximize the number of k-dimensional faces among all d-dimensional convex polytopes with a fixed number of vertices. Stanley vastly generalized the Upper Bound Theorem by showing that it even holds for general triangulations of spheres (and beyond). In this talk I will present a generalization of Stanley's approach that yields an algebraic framework for treating relative upper bound problems. As showcases I will present solutions to combinatorial isometric problems and an Upper Bound Theorem for Minkowski sums. The talk will be a scenic tour from geometry to algebra and back. This is joint work with Karim Adiprasito (IHES).[/dropdown_box]
28.5.Nina Berghoff, Stefan Hoppe
4.6.Kein Seminar
18.6.Elena Kremser, Robin Daniels
25.6.Fabian Hillmann, Jan Arntzen
2.7.Fernando Mário de Oliveira Filho (University of São Paulo)
9.7.Kein Seminar
16.7.Stefan Krupp, Matthias Schwarz (Zeit: 16-17:30 Uhr, Ort: MI Übungsraum 1)
29.9.Sondertermin: Kolloquien der Bachelorarbeiten. Seminarraum 2 im MI

10-10:45 Uhr Tychsen
11-11:45 Uhr Berghoff
13-13:45 Uhr Hoppe
14-14:45 Uhr Arntzen
15-15:45 Uhr Hillmann
16-16:45 Uhr Krupp

Wintersemester 2013/14

23.10.2013Marius Recher
30.10.2013Frederik von Heymann
6.11.2013David de Laat (TU Delft) - Flat extensions in noncommutative optimization
13.12.2013Kein Seminar
20.11.2013Lea Loepke, Elena Kremser
27.11.2013Kein Seminar
4.12.2013Evan DeCorte (TU Delft) - Low-dimensional spherical sets avoiding orthogonal pairs of points
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] Let $M_n$ be the maximum surface measure of a subset of the $n$-dimensional unit sphere not containing a pair of orthogonal vectors. A 1974 conjecture of H.S. Witsenhausen states that the extremal configuration is given by two diametrically opposite spherical caps of equal size. In the same article, Witsenhausen proves $M_n \le 1/n$. A result of A.M. Raigoroskii from 1999 gives exponentially decreasing upper bounds for $M_n$ via a Frank-Wilson type approach. However for $n=3$, the original $1/3$ bound of Witsenhausen is the best known. In this talk we outline a proof that $M_3$ is strictly less than $1/3$. This is joint work with Oleg Pikhurko.[/dropdown_box]
11.12.2013Walid Schalesi
18.12.2013Katharina Kehrle
15.1.2014 Timo de Wolff (Saarbrücken) - Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] We completely characterize sections of the cones of nonnegative polynomials, convex polynomials and sums of squares with polynomials supported on circuits – a genuine class of sparse polynomials. In particular, nonnegativity is characterized by an invariant, which can be immediately derived from the initial polynomial. Based on these results, we obtain a completely new class of nonnegativity certificates independent from sums of squares certificates. Furthermore, nonnegativity of such polynomials f coincides with solidness of the amoeba of f, i.e., the Log-absolute-value image of the variety of f. To the best of our knowledge this is the first connection established between amoeba theory and nonnegativity of polynomials. These results generalize earlier works both in amoeba theory and real algebraic geometry by Fidalgo, Kovacec, Reznick, Theobald and myself. This talk is based on work in progress joint with Sadik Iliman.[/dropdown_box]
22.1.2014Oliver Schaudt (Köln) - Frankl's conjecture
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] Frankl's conjecture (1979) says that in a finite family of sets, closed under union, there is an element contained in at least half of the sets. Although simple-sounding, the conjecture is considered as one of the tough problems in combinatorics. In this talk I will sketch the history of the conjecture and the most successful approaches so far. Joint work with Henning Bruhn, Pierre Charbit, and Jan-Arne Telle.[/dropdown_box]
29.1.2014Sjoerd Dirksen (Hausdorff Center Bonn) - A Johnson-Lindenstrauss embedding for general data sets
[dropdown_box expand_text="abstract" show_more="show" show_less="hide" start="hide"] The Johnson-Lindenstrauss lemma says that one can embed a set of n points in a (high dimensional) Euclidean space into an m-dimensional space using a random map, while approximately preserving the distances between the points in the set. Surprisingly, the embedding dimension m does not depend on the original dimension of the data: it scales logarithmically in terms of the number of points. This result has found many applications, e.g. in nearest-neighbor search. In my talk I will present a generalization of the Johnson-Lindenstrauss lemma, which allows one to embed arbitrary data sets (i.e. also of infinite cardinality) in a low-dimensional space using a random map. The result unifies (and improves) several dimensionality reduction results for specific data sets in the literature, such as sets of sparse vectors, low rank matrices and smooth manifolds.[/dropdown_box]
5.2.2014Vorbesprechungen für Sommersemester 2014
31.3.2014Katharina Kehrle - Kolloquium der Bachelorarbeit

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