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Events
Regular lectures Summer semester 2021

MPI for Mathematics in the Sciences / University of Leipzig

see the lecture detail pages

lecture

01/04/2021 31/07/2021

Regular lectures Summer semester 2021

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!

Previous Lectures


Apr 1, 2021	Daniele Agostini Foundations of Algebraic Geometry The idea of this reading group is to develop the basic notions of modern algebraic geometry, through the language of schemes. We will follow closely the wonderful lecture notes by Vakil, Foundations of Algebraic Geometry.Date and time infoThursday, 17:15 - 18:45 Abstract and more info
Apr 1, 2021	Paul Breiding, Jürgen Vollmer, Eckehard Olbrich IMPRS-Ringvorlesung: Summer semester 2021 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 Paul Breiding: Condition Numbers and Geometry Content: Numerical data rarely is given exact, but usually comes with errors due to noise, measurement errors or errors caused by prior calculations. Consequently, algorithms which take such data as input can't produce correct answers. In this course we will learn about the concept of condition numbers and how it helps to understand how much the solution of a computational problem is changed, if the input data is perturbed. We will discuss how condition numbers are related to the geometry of the underlying problem. The concepts of average and smoothed analysis will be introduced. References: Condition: the geometry of numerical algorithms by Bürgisser and Cucker (Springer, 2013) Jürgen Vollmer: Stochastic Thermodynamics Eckehard Olbrich: Time Series AnalysisDate and time infoTuesdays: 10.15 - 11.45AudienceIMPRS students (mandatory in their first year), Phd students, postdocs
Apr 1, 2021	Rainer Sinn Real Algebra and Geometry In the field of Real Algebra, the main basic objects are orderings of algebraic structures. We will particularly focus on ordered fields (examples are the rational and real numbers) and see that the set of sums of squares plays a special role in this theory. In particular, we will discuss Artin's solution of Hilbert's 17th problem. We will also study quantifier elimination and basics in semi-algebraic geometry (an example of a tame geometry). Towards the end of the semester, we will also study questions in real algebraic geometry, in particular real questions in classical projective geometry. Prior knowledge in abstract algebra is sufficient. Basics in algebraic geometry and commutative algebra are helpful but not necessary.Date and time infoTuesdays, 15:15 - 16:45

Administrative Contact

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail