IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Education, Govt. of India
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Seminars and Colloquia

Mathematics

Selmer companion modular forms 
 
Thu, Aug 10, 2017,   04:30 PM to 05:30 PM at Madhava Hall

Dr. Dipramit Majumdar
IIT Madras

To an elliptic curve one can associate a `Selmer group’ which contains a lot of arithmetic information about the elliptic curve. Mazur and Rubin asked the following question: If the Selmer group associated to two elliptic curves are same, then what can we say about the elliptic curves. They called such pair of elliptic curves Selmer companions. In a joint project with Somnath Jha and Sudhanshu Shekhar, we study the analogous question for modular forms.

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