Mateusz Michałek, Bernd Sturmfels: Invitation to Nonlinear Algebra
- Lecturer: Mateusz Michałek, Bernd Sturmfels
- Date: Block course: June 4 - 14
- Room: MPI MiS, G3 10
- Language: English
- Target audience: MSc students, PhD students, Postdocs
Abstract
Participants will work through the 13 chapters of the book manuscript with that title. The course will be a mix of lectures by participants and study sessions, with 2 hours devoted to each chapter. A tentative schedule is as follows:
| 1. | Polynomial Rings | (June 4, 10 - 12, changed room: A3 01) |
| 2. | Varieties | (June 4, 14 - 16, changed room: A3 01) |
| 3. | Solving and Decomposing | (June 5, 10 - 12) |
| 4. | Mapping and Projecting | (June 5, 14 - 16) |
| 5. | Linear Spaces and Grassmannians | (June 6, 10 - 12) |
| 6. | Nullstellensaetz | (June 6, 14 - 16) |
| 7. | Tropical Algebra | (June 11, 10 - 12, changed room: A3 01) |
| 8. | Toric Varieties | (June 11, 14 - 16, changed room: A3 01) |
| 9. | Tensors | (June 12, 14 - 16) |
| 10. | Representation Theory | (June 13, 10 - 12) |
| 11. | Invariant Theory | (June 13, 14 - 16) |
| 12. | Semidefinite Programming | (June 14, 10 - 12) |
| 13. | Combinatorics | (June 14, 14 - 16) |
Each chapter will be assigned to one or two leading presenters. Participants from nearby universities (Leipzig, Berlin, Magdeburg,...) are most welcome. Travel support is available for assigned leaders.
Regular Lectures (Summer 2019)
- Artificial Neural Networks and Machine Learning: Theoretical Foundations II
- Nihat Ay
- Thursday, 11:15 - 12:45, MPI MiS A3 01
- Embedding theorems in complex geometry
- Judith Brinkschulte
- Tuesday, 11:15 - 12:45, University Augusteum A-314
- Continuum Mechanics
- Jan Burczak
- Wednesday, 9:15 - 10:45 and Friday, 9:15 - 10:45, University Augusteum A-314
- Modern Algebraic Geometry
- Claus Diem
- Monday, 11:15 - 12:45, University SG 3-13 and Friday, 13:15 - 14.45, University Augusteum A-314
- Introduction to Computer Algebra
- Christian Eder
- Wednesday 13:15 - 14:45, University HS-19 and Thursday 9:15 - 10:45, University SG 3-20
- Enumerative geometry
- Francesco Galuppi
- Wednesday, 09:30 - 11:00, and Thursday, 13:30 - 15:00, MPI MiS G3 10
- Stochastic variational inequalities
- Benjamin Gess
- Monday, 16:15 - 17:45, MPI MiS A3 01
- Schemes and Sheaves
- Jürgen Jost
- Monday, 13:30 - 15:00, MPI MiS A3 01
- Information and Complexity
- Jürgen Jost
- Friday, 13:30 - 15:00, MPI MiS A3 02
- Randomness in PDE–selected topics
- Felix Otto
- Thursday, 9:15 - 10:45, MPI MiS A3 01, starting May 16
- Category theory and applications
- Paolo Perrone
- Wednesday, 11:00 - 12:30, MPI MiS A3 02
- Introduction to Microlocal Analysis
- Angkana Rüland
- Thursday, 11:15 - 12:45, University, SG 311
- Introduction to percolation theory
- Artem Sapozhnikov
- Thursday, 13:15 - 14:45, University, Augusteum A 314
- Hodge Theory and Periods of Varieties
- Emre Sertöz
- May 6 - 10, MPI MiS G3 10, details see extra page
- Introduction to D-modules
- Christian Sevenheck
- Friday, 11:00 - 12:30, MPI MiS G3 10
- Invitation to Nonlinear Algebra
- Mateusz Michałek, Bernd Sturmfels
- June 4 - 14, MPI MiS, details see extra page
- Population Dynamics
- Florian Völlering
- Wednesday and Friday 9:00 - 11:00, University, SG 3-13
- IMPRS-Ringvorlesung
- Felix Otto, Peter Stadler (lectures), Tobias Ried (exercises)
- Lectures: Tuesday, 10:15 - 11:45, MPI MiS G3 10
- Exercises: Thursday, 15:30 - 17:00 (at 04.04.: 13:00 - 14:00), MPI MiS G3 10