Department
of Mathematics and Statistics 		University
of Konstanz 		  Logo der Universität Konstanz
Research Group Real Algebraic Geometry > Prof. Dr. S. Kuhlmann > Mitarbeiter > Dr. Maria Infusino

Maria Infusino - Teaching

Summer Semester 2019

Master Fachseminar on Real Algebraic Geometry
with Prof. Dr. Salma Kuhlmann

Mondays: 11.45 – 13.15, Room D404

Description
The aim of this cycle of seminars is to develop in more details some topics that were introduced in the course “Real Algebraic Geometry I” from the WS 2018-19 and that could be a starting point for a master thesis in the research stream investigated in the “Schwerpunkt Reelle Geometrie und Algebra”. The talks could focus for instance on cylindrical decomposition and topological dimension of semi-algebraic sets, sum-of squares representations of positive polynomials, preserving maps for moment sequences, continuous logic, etc. We are also open to related thematic proposals coming from the participants. Each talk will provide a review of the results already known in literature about one topic and point out some related open questions.

Target group
The seminar is primarily aimed at master students, but is also suitable for students of Lehramt.

Preliminary meeting
A preliminary discussion (Vorbesprechung) for the assignment of the topics (Themenvergabe) will take place on Monday April 15th, 11.45-13.15, D404. .

For further information, download the list of possible topics.

Personal Tutorial A personal tutorial is offered to each of you on Thursdays (13:30-14:30, F408) to assist you in the preparation of your talk, abstract and handout. In case you need more assistance, further personal tutorials can be arranged by appointment.

Schedule
  • June 17th: Uniform denominators in Hilbert’s 17th Problem: Theorems by Polya and Reznick (Robin Schabert). Abstract Handout
  • June 24th: The Core Variety - a new approach to the Truncated Moment Problem (Sarah-Tanja Hess). Abstract Handout
  • July 1st: Hilbert's 17th problem for ordered fields (Moritz Link). Abstract Handout
  • July 15th: Preservation of moments (Hannes Kühnert). Cancelled!
  • November 11th: Lower bounds for the minimum of a polynomial using geometric programming (Moritz Schick). Abstract

    • Weekly deadlines
  • Monday before your seminar: submission of the final title and abstract by noon
  • Monday of your seminar: handout of your seminar report at the beginning of your talk (about 5-10 pages)

    • IMPORTANT DEADLINE: One week after the day of your talk, you should submit the final version of your report

    Final grade
    You will receive a final grade which will include an evaluation of your oral presentation, your handout and your active participation in the other talks.

    Using LaTeX
    You might find useful this sample LaTeX document.



    Last update: 6.11.2019