Regular lectures Winter semester 2011-2012: MPI MIS

Please find more information about the lectures at the detail pages.

For rooms at the MPI MiS please note:
Use the entry doors Kreuzstr. 7a (rooms A3 01, A3 02) and Kreustr. 7c (room G3 10), both in the inner court yard, and go to the 3rd. floor.
To reach the Leibniz-Saal (E1 05, 1st. floor) and the Leon-Lichtenstein Room (E2 10, 2nd. floor) use the main entry Inselstr. 22.

Please remember: The doors will be opened 15 minutes before the lecture starts and closed after beginning of the lecture!


Oct 1, 2011	Felix Otto, Nihat Ay, Wolfgang Hackbusch IMPRS-Ringvorlesung: Winter semester 2011/2012 About this lectureDue 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 Felix Otto: Logarithmic Sobolev inequalitiesNihat Ay: Composite Systems and Hierachical ModelsWolfgang Hackbusch: Numerical Tensor CalculusDate and time infoWednesday, 13:30 - 15:00 h
Oct 1, 2011	Miroslav Bačák Techniques of variational analysis Variational arguments can be traced back to the early development of the calculus of variations. The discovery of modern variational principles and nonsmooth analysis further expand the range of applications of these techniques. The lecture is an introduction to (mostly infinite-dimensional) first-order variational analysis, which includes several variational principles (Ekeland, Borwein-Preiss, DGZ, Stegall), subdifferential calculus, rudiments of convex analysis (convex subgradient, Fenchel duality theory, maximal monotone operators), and, as the peak of the lecture, nonsmooth analysis on smooth (finitely dimensional) Riemannian manifolds and its applications to spectral functions. Our intention is to accommodate a broader audience, long and technical proofs will therefore be omitted. Various examples, applications, and open problems make the lecture more lively. An elementary knowledge of functional analysis is the only prerequisite we anticipate. The main reference for this lecture is the monograph "Techniques of variational analysis" by Borwein and Zhu.Date and time infoThursday, 10:15 - 11:45 h
Oct 1, 2011	Jürgen Jost Mathematical structures of economic theory In this course, I shall discuss the conceptual structure of contemporary economic theory and introduce the relevant mathematical methods, like game theory, dynamical systems, stochastic analysis. Thus, the course will also give an overview of and an introduction to a wide range of mathematical topics.Date and time infoFriday, 13:30 - 15:00 h
Oct 1, 2011	Jürgen Jost Topics in geometric analysis and the calculus of variations I shall discuss a variety of interesting topics, results, and problems in nonlinear analysis. This course will meet somewhat irregularly.Date and time infoMonday, 13:30 - 15:00 h
Oct 1, 2011	Stephan Luckhaus Seminar: The mathematical theory of Homogenization The theory of Homogenization is about trying to understand relations between macroscopic and microscopic scales. More precisely, one is interested in recovering equations satisfied by macroscopic quantities from those satisfied by the physical quantities. Mainly we will deal with the homogenization or upscaling of elliptic or parabolic partial differential equations with rapidly varying coefficients. In all problems considered existence of solutions for the microscopic problems is known. The difficulty is the derivation of equations for the averaged quantities. Here special notions of convergences like the two-scale convergence introduced by Nguetseng and Allaire, H-convergence and Gamma-convergence come into play, as well as the method of asymptotic expansion. There will be weekly presentations on selected papers. The seminar is addressed to graduate students planning a deep in the area of pure or applied analysis, Ph.D. students and everybody who is just interested in. Feel very welcome to participate.Date and time infoThursday, 13:30 - 15:00 h
Oct 1, 2011	Felix Otto Selected topics in applied analysis Date and time infoTuesday, 9:00 - 11:00 h
Oct 1, 2011	Emanuele Spadaro Introduction to sets of finite perimeter Sets of finite perimeter are the most general class of sets for which the notions of boundary measure and external normal can be defined. They play an important role in many geometric and analytical problems, such as minimal surface theory, capillarity problems, phase separation models etc. The aim of the course is to present the basic theory up to covering the structure theorem. Depending on the time and the interests of the audience, further regularity issues or applications to phase separation problems can also be covered.Date and time infoFriday, 9:15 - 11:00 h

Oct 1, 2011

Felix Otto, Nihat Ay, Wolfgang Hackbusch

IMPRS-Ringvorlesung: Winter semester 2011/2012

About this lectureDue 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 Felix Otto: Logarithmic Sobolev inequalitiesNihat Ay: Composite Systems and Hierachical ModelsWolfgang Hackbusch: Numerical Tensor CalculusDate and time infoWednesday, 13:30 - 15:00 h

Oct 1, 2011

Miroslav Bačák

Techniques of variational analysis

Variational arguments can be traced back to the early development of the calculus of variations. The discovery of modern variational principles and nonsmooth analysis further expand the range of applications of these techniques. The lecture is an introduction to (mostly infinite-dimensional) first-order variational analysis, which includes several variational principles (Ekeland, Borwein-Preiss, DGZ, Stegall), subdifferential calculus, rudiments of convex analysis (convex subgradient, Fenchel duality theory, maximal monotone operators), and, as the peak of the lecture, nonsmooth analysis on smooth (finitely dimensional) Riemannian manifolds and its applications to spectral functions. Our intention is to accommodate a broader audience, long and technical proofs will therefore be omitted. Various examples, applications, and open problems make the lecture more lively. An elementary knowledge of functional analysis is the only prerequisite we anticipate. The main reference for this lecture is the monograph "Techniques of variational analysis" by Borwein and Zhu.Date and time infoThursday, 10:15 - 11:45 h

Oct 1, 2011

Jürgen Jost

Mathematical structures of economic theory

In this course, I shall discuss the conceptual structure of contemporary economic theory and introduce the relevant mathematical methods, like game theory, dynamical systems, stochastic analysis. Thus, the course will also give an overview of and an introduction to a wide range of mathematical topics.Date and time infoFriday, 13:30 - 15:00 h

Oct 1, 2011

Jürgen Jost

Topics in geometric analysis and the calculus of variations

I shall discuss a variety of interesting topics, results, and problems in nonlinear analysis. This course will meet somewhat irregularly.Date and time infoMonday, 13:30 - 15:00 h

Oct 1, 2011

Stephan Luckhaus

Seminar: The mathematical theory of Homogenization

The theory of Homogenization is about trying to understand relations between macroscopic and microscopic scales. More precisely, one is interested in recovering equations satisfied by macroscopic quantities from those satisfied by the physical quantities. Mainly we will deal with the homogenization or upscaling of elliptic or parabolic partial differential equations with rapidly varying coefficients. In all problems considered existence of solutions for the microscopic problems is known. The difficulty is the derivation of equations for the averaged quantities. Here special notions of convergences like the two-scale convergence introduced by Nguetseng and Allaire, H-convergence and Gamma-convergence come into play, as well as the method of asymptotic expansion. There will be weekly presentations on selected papers. The seminar is addressed to graduate students planning a deep in the area of pure or applied analysis, Ph.D. students and everybody who is just interested in. Feel very welcome to participate.Date and time infoThursday, 13:30 - 15:00 h

Oct 1, 2011

Felix Otto

Selected topics in applied analysis

Date and time infoTuesday, 9:00 - 11:00 h

Oct 1, 2011

Emanuele Spadaro

Introduction to sets of finite perimeter

Sets of finite perimeter are the most general class of sets for which the notions of boundary measure and external normal can be defined. They play an important role in many geometric and analytical problems, such as minimal surface theory, capillarity problems, phase separation models etc. The aim of the course is to present the basic theory up to covering the structure theorem. Depending on the time and the interests of the audience, further regularity issues or applications to phase separation problems can also be covered.Date and time infoFriday, 9:15 - 11:00 h

Regular lectures Winter semester 2011-2012

Previous Lectures

Administrative Contact

Katharina Matschke