Themenseminar on Real Algebraic Geometry and Free Probability
Real algebraic geometry and free probability
- O. Hesse, Über die Doppeltangenten der Curven vierter Ordnung.
- B. Gross, J. Harris, Real algebraic curves.
- V. Vinnikov, Complete description of determinantal representations of smooth irreducible curves.
- V. Vinnikov, Selfadjoint determinantal representations of real plane curves.
- M. Kummer, E. Shamovich, Real fibered morphisms and Ulrich sheaves.
- M. Michałek, B. Sturmfels, C. Uhler, P. Zwiernik, Exponential varieties.
- D. Speyer, Horn’s Problem, Vinnikov Curves and the Hive Cone.
- J. Helton, V. Vinnikov, Linear Matrix Inequality Representation of Set.
- D. Plaumann, B. Sturmfels, C. Vinzant, Quartic Curves and Their Bitangents.
- J. C. Ottem, K. Ranestad, B. Sturmfels, C. Vinzant, Quartic Spectrahedra.
- D. S. Kaliuzhnyi-Verbovetskyi, V. Vinnikov, Foundations of Free Noncommutative Function Theory
- Joseph L. Taylor, A general framework for a multi-operator functional calculus
- Joseph L. Taylor, Functions of several noncommuting variables
- Dan-Virgil Voiculescu, Aspects of free analysis
The seminar will take place Tuesday, 16:00h s.t. in seminar room 10, E2 4.
| Speaker | Title | Date |
| Frank-Olaf Schreyer |
Vinnikov's work; and its origin in Hesse's result on quartic curves and theta characteristics. |
27.10.2015 |
| Frank-Olaf Schreyer | Ulrich bundles | 03.11.2015 |
| Johannes Rau | Horn's problem and Vinnikov curves | 10.11.2015 |
| No seminar | 17.11.2015 | |
| No seminar | 24.11.2015 | |
| Christian Bopp | Self-adjoint determinantal representations of real plane algebraic curves | 01.12.2015 |
| Michael Hoff | Signature of self-adjoint determinantal representations | 08.12.2015 |
| Roland Speicher | Linear matrix inequality representation of sets | 15.12.2015 |
| Yoav Len | Spectrahedron | 05.01.2016 |
| No seminar | 12.01.2016 | |
| No seminar | 19.01.2016 |
|
| Felix Leid | Cohn's approach to the universal field of fractions for non-commutative rings | 26.01.2016 |
| Tobias Mai | A brief introduction to free analysis | 02.02.2016 |