### Friendly presentation of Elliptic curves and Galois representations

Seminar

16th March 2018, 4:30 pm – 5:40 pm

Howard House, 4th Floor Seminar Room

The two protagonists of this talk are elliptic curves and Galois groups.

I will define elliptic curves and explain why they are an abelian group; in particular I will focus on points of finite order, known as torsion points. Then I will talk about Galois groups and describe the Galois action on torsion points.

I will give several examples to show this phenomenon in the simplest cases, and finally I will mention some possible generalizations.

*Organisers*: Leonid Monin, Irene Pasquinelli

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*Organiser*: Ayalvadi Ganesh

*Organiser*: Karoline Wiesner

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*Organisers*: Philip Welch, In collaboration with Oxford Set Theory Seminar

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*Organisers*: Matthew Bisatt, Dan Fretwell, Oleksiy Klurman, Gene Kopp, Min Lee

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*Organisers*: David Ellis, Brendan Murphy

*Organisers*: Thomas Jordan, Rhiannon Dougall, Demi Allen, Henna Koivusalo

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*Organisers*: Michiel van den Berg, Kevin Hughes, John Mackay, Asma Hassannezhad

*Organisers*: Ofer Busani, Benjamin Lees

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