IMPRS-Ringvorlesung: Summer semester 2024

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Next lectures
06.05.2024, 13:30 (E2 10 (Leon-Lichtenstein))
16.05.2024, 13:30 (E2 10 (Leon-Lichtenstein))
23.05.2024, 13:30 (E2 10 (Leon-Lichtenstein))
30.05.2024, 13:30 (E2 10 (Leon-Lichtenstein))
06.06.2024, 13:30 (E2 10 (Leon-Lichtenstein))
13.06.2024, 13:30 (E2 10 (Leon-Lichtenstein))
20.06.2024, 13:30 (E2 10 (Leon-Lichtenstein))
27.06.2024, 13:30 (E2 10 (Leon-Lichtenstein))
04.07.2024, 13:30 (E2 10 (Leon-Lichtenstein))

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About this lecture
Due to the rather broad spectrum of topics within the IMPRS, the curriculum consists of a core curriculum to be attended by all students and a variety of more specialized lectures and courses. The heart of our teaching program certainly is the Ringvorlesung. Each semester the Ringvorlesung focuses on one field and is usually delivered by scientific members of the IMPRS who introduce different approaches and visions within this field.

Topics

Part I:

• Lecturer: Nikolay Barashkov (May 2, 16, 30 and June 6)
• Title: Optimal Control
• Abstract: We will introduce the mathematical formulation of a determinstic and stochastic control problem, and discuss Bellmanns optimality principle and the connection with Hamilton Jacobi equations. Time permitting, we will also discuss the connection of Stochastic Control with Backwards SDE's.

Part II:

• Lecturer: James Reed Farre (June 13, 20, 27, and July 4)
• Title: Dynamics of the geodesic and horocycle flows
• Abstract: We will study and survey some results in "homogeneous dynamics” concerning certain flows on finite volume quotients of PSL(2,R) by discrete subgroups, the geodesic and horocycle flows. There are interesting connections with number theory, topology, geometry, and dynamics, some of which we will explore after developing some basic geometry of the hyperbolic plane.

Part III: tba