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NCTS Seminar on Number Theory
13:30 - 14:30, February 26, 2020 (Wednesday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Large Galois Images for Jacobian Varieties
Cécile Armana (University of Franche-Comté)


A main objective of algebraic number theory is to understand the absolute Galois group of the rational field. One way is to study its representations, called Galois representations. Algebro-geometric objects, such as abelian varieties, provide natural Galois representations which have been studied extensively in arithmetic geometry.
In this talk, I will discuss Galois representations arising from Jacobian varieties of curves, especially of small genus, and review recent results concerning the size of their image.


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