24.05.2022 um 14:15 Uhr in 66/101
Robert Kunsch (RWTH Aachen)
How much randomness is needed for high-confidence
Monte Carlo integration?
31.05.2022 um 14:15 Uhr in 66/101
Kumar Harsha (Universität Osnabrück)
Infinite-Dimensional L^2-Approximation Based on General Linear Information:
The ANOVA and the NON-ANOVA Setting
03.06.2022 um 14:15 Uhr in 69/E23
Manuel Fiedler (Hochschule Ruhr West)
Probabilistic Discrepancy bounds for negatively dependent sequences
24.05.2022 um 14:15 Uhr in 93/E06
Marie-Charlotte Brandenburg (MPI Leipzig)
The positive tropicalization of low rank matrices
Given a (d x n)-matrix of fixed rank r, we can interpret the columns of the matrix as n points in d-dimensional space, lying on a common r-dimensional subspace. Similarly, given the tropicalization of this matrix, we obtain a configuration of points lying on a tropical linear space of dimension r. We consider such tropical point configurations, and introduce a combinatorial criterion ('triangle criterion') to characterize configurations which can be obtained from the tropicalization of matrices with positive entries. This is based on joint work in progress with Georg Loho and Rainer Sinn. No prior knowledge of tropical geometry will be assumed for this talk.
31.05.2022 um 14:15 Uhr in 35/E23-E24
Chiara Meroni (MPI Leipzig)
Combinatorics and semialgebraic geometry: intersection bodies
Intersection bodies are a popular construction in convex geometry. We will analyze some of their interesting features and then focus on the intersection bodies of polyotopes. They are always semialgebraic sets and are naturally related to hyperplane arrangements, which somehow describe their boundary structure. We will explore this connection via some examples and explain the ideas behind the main results. This is based on a joint work with Katalin Berlow, Marie-Charlotte Brandenburg and Isabelle Shankar.