[Mittagsseminar TI] Mittagsseminar am Dienstag, 22.7. M.Sc.-thesis defense, in English
Dear all,
I hereby invite you to the defense of my Master's thesis entitled:
“The discrete Steiner point".
Date: Tuesday, July 22th 2025
Time: 12:00 PM
Location: SR 055, Takustraße 9
The defense will be held in English.
First reviewer: Prof. Dr. Günter Rote
Second reviewer: Prof. Dr. László Kozma
Supervisor: Prof. Dr. Günter Rote
Best wishes,
Marith Wagegg
Abstract:
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The discrete Steiner point is a valuation on lattice polytopes, defined by its
equivariance under translations and unimodular transformations, together with the
valuation property. This talk introduces its fundamental properties and examines how it
behaves under standard geometric operations. The main focus lies on analysing families of
lattice triangles with fixed base and varying apex. The discrete Steiner point is computed
for many such examples, and closed-form expressions for its coordinates are derived using
interpolation techniques and moment formulas. Additionally, we explore how the point
behaves under triangulations, Minkowski sums, and symmetry, and how these methods can be
used to extend computations to more complex shapes.
