Intersection Theory
Prof. Dr. Timo Richarz
Time and Place
Fridays, 11:40-13:20
Starting: Friday, 20.10.2023
Ending: Friday, 09.02.2024
Room S215 401 and Zoom (ID: 636 1387 5385, PW: smallest six digit number divisible by three)
Exercise Session: Tuesdays, 9:50-11:30, same room and Zoom
Contents: The lecture deals with the intersection theory of cycles on algebraic varieties with the aim to prove the theorem of Grothendieck-Riemann-Roch. Prerequisite is the Algebraic Geometry 1 lecture from last term. Parallel attendance of Algebraic Geometry 2 is highly recommended. Some key words include: Cycles, rational equivalence, Chow groups, proper push forward and flat pullback, vector bundles, normal cone, Grothendieck K groups, Grothendieck-Riemann-Roch, Examples.
Literature: Fulton’s book on Intersection Theory
Exercise Sheets: Sheet 1 (opens in new tab) , Sheet 2 (opens in new tab) , Sheet 3 (opens in new tab) , Sheet 4 (opens in new tab) , Sheet 5 (opens in new tab) , Sheet 6 (opens in new tab) , Sheet 7 (opens in new tab)
Exam: The exam will most likely be oral. Further information will be given during the semester.