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| Feb 25 |
Tue |
Alex Torzewski (Kings) |
Number Theory seminar |
| 14:00 |
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How common is Galois complex multiplication?
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Hicks Seminar Room J11 / Google Meet |
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Abstract:
An elliptic curve over a characteristic zero field is said to have complex multiplication when its endomorphism ring is larger than Z ("E has extra endomorphisms"). Generic elliptic curves don't have complex multiplication. Similarly, when the Tate module of E has extra endomorphisms we say E has "Galois" complex multiplication. Over a number field, E has Galois complex multiplication if and only if it has complex multiplication. Over a local field this need not be the case. We investigate how often this happens via basic computations in p-adic Hodge theory.
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| Mar 4 |
Tue |
Jens Funke (Durham) |
Number Theory seminar |
| 14:00 |
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Indefinite theta series via incomplete theta integrals |
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Hicks Seminar Room J11 / Google Meet |
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Abstract:
Positive definite theta series have been a classical tool in the arithmetic of quadratic forms and also in the theory of modular forms. In comparison, the indefinite case has been less studied. In this talk we will explain how indefinite theta series naturally arise in the context of symmetric spaces of orthogonal type and discuss recent developments inspired by mathematical physics. This is joint work with Steve Kudla.
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| Mar 18 |
Tue |
Elena Collacciani (Padova) |
Number Theory seminar |
| 14:00 |
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Hicks Seminar Room J11 / Google Meet |
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| Mar 25 |
Tue |
Rose Berry (UEA) |
Number Theory seminar |
| 14:00 |
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Hicks Seminar Room J11 / Google Meet |
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| Apr 29 |
Tue |
Jenny Roberts (Bristol) |
Number Theory seminar |
| 14:00 |
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Hicks Seminar Room J11 / Google Meet |
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| May 6 |
Tue |
Miriam Norris (University of Manchester) |
Number Theory seminar |
| 14:00 |
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Hicks Seminar Room J11 / Google Meet |
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