Draft Schedule
The schedule is currently under preparation. We anticipate the following form:
Monday, July 6
| 09:30 | Check-in | |
|
| 09:45 | Welcome and introduction | |
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| 10:00 | Eva Bayer-Fluckiger: |
| K3 surfaces and arithmetic - some results and many open questions |
| The aim of this talk is to present recent results and several open questions regarding the arithmetic of K3 surfaces, focusing on dynamical degrees of automorphisms and Hodge endomorphisms. |
| 11:00 | Morning break | |
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| 11:30 | Contributed talk |
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| 12:00 | Contributed talk |
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| 12:30 | Lunch break | |
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| 14:00 | Contributed talk |
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| 14:30 | Contributed talk |
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| 15:00 | Contributed talk |
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| 15:30 | Afternoon break | |
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| 16:00 | Lightning talks |
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| 17:45 | Poster session and reception | |
|
Tuesday, July 7
| 09:25 | Setup | |
|
| 9:30 | Aurel Page: |
| TBA |
| 10:30 | Morning break | |
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| 11:00 | Contributed talk |
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| 11:30 | Contributed talk |
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| 12:00 | Contributed talk |
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| 12:30 | Lunch break | |
|
| 14:00 | Contributed talk |
|
| 14:30 | Contributed talk |
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| 15:00 | Contributed talk |
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| 15:30 | Afternoon break | |
|
| 16:00 | Contributed talk |
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| 16:30 | Contributed talk |
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| 17:00 | Contributed talk |
|
Wednesday, July 8
| 08:55 | Setup | |
|
| 9:00 | Peter Koymans with Carlo Pagano: |
| Elliptic curves of rank one |
| Mazur and Rubin proved that for every number field $K$, there exists an elliptic curve $E$ defined over $K$ with rank equal to zero. In this talk, we will explain how to construct for every number field $K$ an elliptic curve $E$ defined over $K$ with rank equal to one. This is joint work with Carlo Pagano. |
| 10:00 | Contributed talk |
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| 10:30 | Morning break | |
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| 11:00 | Contributed talk |
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| 11:30 | Contributed talk |
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| 12:00 | Contributed talk |
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| 12:30 | Group photo |
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Thursday, July 9
| 09:25 | Setup | |
|
| 9:30 | Sabrina Kunzweiler: |
| Models of principally polarized abelian varieties and isogenies |
| Explicit computations with abelian varieties and isogenies appear in various number-theoretic applications, including point counting, descent, and post-quantum cryptography. In the case of elliptic curves, many different models have been analysed with the aim of optimising such computations. This talk will be about models of principally polarized abelian varieties induced by symmetric theta structures. We discuss recent advances concerning their computational aspects, with a focus on level-2 and level-3 models. In particular, we present a simple algorithm for computing 3-isogenies in a level-3 model in dimension 2, and we explain connections of this model with the Burkhardt quartic threefold. |
| 10:30 | Morning break | |
|
| 11:00 | Contributed talk |
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| 11:30 | Contributed talk |
|
| 12:00 | Contributed talk |
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| 12:30 | Lunch break | |
|
| 14:00 | Contributed talk |
|
| 14:30 | Contributed talk |
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| 15:00 | Contributed talk |
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| 15:30 | Afternoon break | |
|
| 16:00 | Rump session | |
|
| 18:00 | Business meeting | |
|
Friday, July 10
| 09:25 | Setup | |
|
| 9:30 | John Voight: |
| Experiments and expectations in computational algebra |
| Experimental results have long played a key role in number theory, suggesting conjectures, testing heuristics, and guiding the development of algorithms. At the same time, the scale and complexity of modern computations raise new horizons for these experiments and new questions for how we use computational algebra software. In this talk, I will discuss several recent examples. The first is joint work with Blair Butler and Edgar Costa on a statistical approach to understanding ranks of elliptic curves. The second is joint work with Andreas-Stephan Elsenhans on computing class groups of number fields. I will conclude with some general questions about our expectations for computer algebra systems and how these expectations may evolve as formalization and AI/machine learning tools become increasingly integrated into mathematical practice. |
| 10:30 | Morning break | |
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| 11:00 | Contributed talk |
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| 11:30 | Contributed talk |
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| 12:00 | Contributed talk |
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| 12:30 | Selfridge prize | |
|
| 12:50 | Lunch break |
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