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Tate–Šafarevič group

Event Category:
Reading Seminar in Algebraic Geometry
Speaker:
Aditya Khurmi
Institution:
UMass

The Tate–Šafarevič group of elliptic curves measures the failure of the local-global principle. For elliptic K3 surfaces, however, one can view it differently since it equals the Weil–Châtelet group. I will discuss this group in both settings and its relation with other cohomology groups, such as the Brauer group.

Tuesday, April 23, 2024 - 2:30pm
LGRT 1681