Oberseminar Optimierung
Das Oberseminar findet immer mittwochs um 14:15 Uhr im SR 3, Georg-Cantor-Haus, Theordor-Lieser-Str. 5, 06120 Halle statt.
WiSe 2025/26
19. Januar 2026
Frau Professor Dr. Gemayqzel Bouza Allende, Universität Havanna
Titel:
Generic Properties of Single-Leader–Multi-Follower Models
Abstract: Single-Leader–Multi-Follower (SLMF) problems model situations in which a leader chooses an optimal decision while anticipating the responses of a finite set of followers who interact through a Nash equilibrium. Because of their wide range of applications, SLMF models have received significant attention over the past decade. However, their numerical solution remains challenging; in particular, even identifying feasible points can be computationally complex. For this reason, related reformulations—such as those based on the value function or on Karush–Kuhn–Tucker (KKT) conditions—are often studied.
In this work, we adopt the latter approach: the lower-level problems are replaced by their KKT conditions, yielding a specific class of mathematical programs with complementarity constraints (MPCCs). We introduce a notion of nondegenerate solution for this class and show that, generically, standard MPCC constraint qualifications hold and all solutions are regular. More precisely, for any given problem, we prove that—up to a set of zero Lebesgue measure—these properties persist under perturbations of the involved functions of at most quadratic order.
ACHTUNG - abweichender Raum und andere Zeit:
Die Veranstaltung am 19.01.26 findet im Georg-Cantor-Haus, SR2 um 14:00 Uhr statt.
10. Dezember 2025
Emma Schneider
Titel:
"NASHGLEICHGEWICHTE UND ANWENDUNGEN"
3. Dezember 2025
Erik Walter
Titel:
"OPTIMALE STEUERUNG DER NAVIER-STOKES GLEICHUNG, TEIL 2"
26. November 2025
Erik Walter
Titel:
"OPTIMALE STEUERUNG DER NAVIER-STOKES GLEICHUNG, TEIL 1"
19. November 2025
Sebastian Lein
Titel:
"EIN NEWTON VERFAHREN MIT KUBISCHER REGULARISIERUNG"
12. November 2015
Tabea Hüfken
Titel:
"OPTIMAL DISTRIBUTED AND INITIAL VALUE CONTROL OF THE INSTATIONARY NAVIER-STOKES EQUATION WITH MIXED BOUNDARY CONDITIONS IN DOMAINS WITH CORNERS FOR SMALL DATA"
5. November 2025
Tim Kohlmann
Titel:
"EIN OPTIMIERUNGSPROBLEM MIT L0-NORM"