Courses / Activities

Grothendieck-Riemann-Roch theorem

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Courses / Activities

2018-08-16
11:30:00 - 12:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)



In this talk, I will discuss the proof of Grothendieck-Riemann-Roch theorem following [1]. First, I will introduce Grothendieck group, Chern classes (following [2]) and their properties.
Next, I will give the statement and the proof of Grothendieck-Riemann-Roch for non-singular quasi-projective varieties.
Reference:
[1] Borel, Serre, Le théorèm de Riemann-Roch (1958)
[2] Grothendieck, La théorie des classes de Chern