• Lecturer: Bernd Sturmfels
• Date: August 19 - September 04, 14.00 - 16.00 o'clock (see schedule)
• Room: MPI MiS E1 05

Abstract

My textbook with Diane Maclagan has six chapters. In three consecutive weeks, I will present selected topics from each chapter. The course takes place on the following six afternoons, each with two classical chalk lectures of 50 minutes each. Here is the schedule:

• August 19, Wednesday, 14-16: Chapter 1
  Lecture 1: Plane Curves Watch recording
  Lecture 2: Curve Counting Watch recording
   
• August 21, Friday, 14-16: Chapter 2
  Lecture 3: Fields and Varieties Watch recording
  Lecture 4: Gröbner Bases and Tropical Bases Watch recording
   
• August 26, Wednesday, 14-16: Chapter 3
  Lecture 5: Fundamental Theorem Watch recording
  Lecture 6: Structure Theorem Watch recording
   
• August 28, Friday, 14-16: Chapter 4
  Lecture 7: Linear Spaces Watch recording
  Lecture 8: Surfaces Watch recording
   
• September 2, Wednesday, 14-16: Chapter 5
  Lecture 9: Convexity Watch recording
  Lecture 10: Matrix Rank Watch recording
   
• September 4, Friday, 14-16: Chapter 6
  Lecture 11: Toric Varieties Watch recording
  Lecture 12: Geometric Tropicalization Watch recording

Everyone is encouraged to read the book in parallel. Study groups are self-organized. The lectures will be filmed and high-quality recordings will be posted at this website, on our media server and in this YouTube Playlist.

Most importantly, there will be four discussion sessions, held via Zoom on Tuesdays at 17-19h. Here is the schedule:

• August 18, led by Marie-Charlotte Brandenburg and Victoria Schleis (Code samples)
• August 25, led by Alheydis Geiger and Paul Görlach (Exercises and Code)
• September 1, led by Marta Panizzut and Leon Zhang
• September 8, led by Madeline Brandt and Marvin Hahn (Additional information and Exercises)